Search a number
-
+
13146997 is a prime number
BaseRepresentation
bin110010001001…
…101101110101
3220201221021211
4302021231311
511331200442
61145441421
7216514303
oct62115565
926657254
1013146997
11746a596
1244a0271
1329540b6
141a63273
15124a617
hexc89b75

13146997 has 2 divisors, whose sum is σ = 13146998. Its totient is φ = 13146996.

The previous prime is 13146979. The next prime is 13147003. The reversal of 13146997 is 79964131.

Together with previous prime (13146979) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12208036 + 938961 = 3494^2 + 969^2 .

It is a cyclic number.

It is not a de Polignac number, because 13146997 - 211 = 13144949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13146977) 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 as a sum of consecutive naturals, namely, 6573498 + 6573499.

It is an arithmetic number, because the mean of its divisors is an integer number (6573499).

Almost surely, 213146997 is an apocalyptic number.

It is an amenable number.

13146997 is a deficient number, since it is larger than the sum of its proper divisors (1).

13146997 is an equidigital number, since it uses as much as digits as its factorization.

13146997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40824, while the sum is 40.

The square root of 13146997 is about 3625.8787900315. The cubic root of 13146997 is about 236.0164033892.

The spelling of 13146997 in words is "thirteen million, one hundred forty-six thousand, nine hundred ninety-seven".