Search a number
-
+
12337325 = 52711131729
BaseRepresentation
bin101111000100…
…000010101101
3212012210121222
4233010002231
511124243300
61120233125
7206602610
oct57040255
925183558
1012337325
116a67240
12416b7a5
13272c6c0
1418d2177
15113a785
hexbc40ad

12337325 has 96 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 6451200.

The previous prime is 12337319. The next prime is 12337331. The reversal of 12337325 is 52373321.

It is an interprime number because it is at equal distance from previous prime (12337319) and next prime (12337331).

It is not a de Polignac number, because 12337325 - 218 = 12075181 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12337294 and 12337303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 425411 + ... + 425439.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 212337325 is an apocalyptic number.

It is an amenable number.

12337325 is a deficient number, since it is larger than the sum of its proper divisors (10161235).

12337325 is a wasteful number, since it uses less digits than its factorization.

12337325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 82 counting only the distinct ones).

The product of its digits is 3780, while the sum is 26.

The square root of 12337325 is about 3512.4528466586. The cubic root of 12337325 is about 231.0682818827.

It can be divided in two parts, 1233 and 7325, that added together give a palindrome (8558).

The spelling of 12337325 in words is "twelve million, three hundred thirty-seven thousand, three hundred twenty-five".

Divisors: 1 5 7 11 13 17 25 29 35 55 65 77 85 91 119 143 145 175 187 203 221 275 319 325 377 385 425 455 493 595 715 725 935 1001 1015 1105 1309 1547 1595 1885 1925 2233 2275 2431 2465 2639 2975 3451 3575 4147 4675 5005 5075 5423 5525 6409 6545 7735 7975 9425 11165 12155 12325 13195 17017 17255 20735 25025 27115 29029 32045 32725 37961 38675 44863 55825 60775 65975 70499 85085 86275 103675 135575 145145 160225 189805 224315 352495 425425 493493 725725 949025 1121575 1762475 2467465 12337325