13641057 has 12 divisors (see below), whose sum is σ = 19742164. Its totient is φ = 9076320.

The previous prime is 13641041. The next prime is 13641073. The reversal of 13641057 is 75014631.

13641057 is a `hidden beast` number, since 13 + 641 + 0 + 5 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (13641041) and next prime (13641073).

It can be written as a sum of positive squares in 2 ways, for example, as 7485696 + 6155361 = 2736^2 + 2481^2 .

It is not a de Polignac number, because 13641057 - 2⁴ = 13641041 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13641057.

It is not an unprimeable number, because it can be changed into a prime (13641077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4803 + ... + 7095.

Almost surely, 2^13641057 is an apocalyptic number.

It is an amenable number.

13641057 is a deficient number, since it is larger than the sum of its proper divisors (6101107).

13641057 is a wasteful number, since it uses less digits than its factorization.

13641057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 13641057 is about 3693.3801591496. The cubic root of 13641057 is about 238.9365972700.

Adding to 13641057 its reverse (75014631), we get a palindrome (88655688).

The spelling of 13641057 in words is "thirteen million, six hundred forty-one thousand, fifty-seven".