13005657 has 16 divisors (see below), whose sum is σ = 22020480. Its totient is φ = 7431696.

The previous prime is 13005637. The next prime is 13005673. The reversal of 13005657 is 75650031.

13005657 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 5 + 657 = 666.

It is not a de Polignac number, because 13005657 - 2⁸ = 13005401 is a prime.

It is a super-2 number, since 2×13005657² = 338294228003298, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13005657.

It is not an unprimeable number, because it can be changed into a prime (13005637) 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 15 ways as a sum of consecutive naturals, for example, 34218 + ... + 34595.

It is an arithmetic number, because the mean of its divisors is an integer number (1376280).

Almost surely, 2^13005657 is an apocalyptic number.

It is an amenable number.

13005657 is a deficient number, since it is larger than the sum of its proper divisors (9014823).

13005657 is an equidigital number, since it uses as much as digits as its factorization.

13005657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68829 (or 68823 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 13005657 is about 3606.3356748922. The cubic root of 13005657 is about 235.1675702372.

Adding to 13005657 its reverse (75650031), we get a palindrome (88655688).

The spelling of 13005657 in words is "thirteen million, five thousand, six hundred fifty-seven".