13157627 has 12 divisors (see below), whose sum is σ = 15379056. Its totient is φ = 11224080.

The previous prime is 13157611. The next prime is 13157647. The reversal of 13157627 is 72675131.

It is not a de Polignac number, because 13157627 - 2⁴ = 13157611 is a prime.

It is a super-2 number, since 2×13157627² = 346246296542258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13157593 and 13157602.

It is not an unprimeable number, because it can be changed into a prime (13157647) 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 11 ways as a sum of consecutive naturals, for example, 12377 + ... + 13397.

It is an arithmetic number, because the mean of its divisors is an integer number (1281588).

Almost surely, 2^13157627 is an apocalyptic number.

13157627 is a deficient number, since it is larger than the sum of its proper divisors (2221429).

13157627 is a wasteful number, since it uses less digits than its factorization.

13157627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1291 counting only the distinct ones).

The product of its digits is 8820, while the sum is 32.

The square root of 13157627 is about 3627.3443453855. The cubic root of 13157627 is about 236.0799965807.

The spelling of 13157627 in words is "thirteen million, one hundred fifty-seven thousand, six hundred twenty-seven".