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12997215 = 325711331
BaseRepresentation
bin110001100101…
…001001011111
3220110022211100
4301211021133
511311402330
61142324143
7215321520
oct61451137
926408740
1012997215
117378000
124429653
132900b7a
141a24847
15121b060
hexc6525f

12997215 has 96 divisors (see below), whose sum is σ = 29233152. Its totient is φ = 5227200.

The previous prime is 12997213. The next prime is 12997217. The reversal of 12997215 is 51279921.

12997215 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12997213) and next prime (12997217).

It is not a de Polignac number, because 12997215 - 21 = 12997213 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12997215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12997213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 419250 + ... + 419280.

It is an arithmetic number, because the mean of its divisors is an integer number (304512).

Almost surely, 212997215 is an apocalyptic number.

12997215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12997215 is an abundant number, since it is smaller than the sum of its proper divisors (16235937).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12997215 is a wasteful number, since it uses less digits than its factorization.

12997215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 57 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 12997215 is about 3605.1650447656. The cubic root of 12997215 is about 235.1166766316.

It can be divided in two parts, 1299 and 7215, that multiplied together give a triangular number (9372285 = T4329).

The spelling of 12997215 in words is "twelve million, nine hundred ninety-seven thousand, two hundred fifteen".

Divisors: 1 3 5 7 9 11 15 21 31 33 35 45 55 63 77 93 99 105 121 155 165 217 231 279 315 341 363 385 465 495 605 651 693 847 1023 1085 1089 1155 1331 1395 1705 1815 1953 2387 2541 3069 3255 3465 3751 3993 4235 5115 5445 6655 7161 7623 9317 9765 11253 11935 11979 12705 15345 18755 19965 21483 26257 27951 33759 35805 38115 41261 46585 56265 59895 78771 83853 107415 123783 131285 139755 168795 206305 236313 288827 371349 393855 419265 618915 866481 1181565 1444135 1856745 2599443 4332405 12997215