57006677 has 16 divisors (see below), whose sum is σ = 72062592. Its totient is φ = 43882560.

The previous prime is 57006647. The next prime is 57006679. The reversal of 57006677 is 77660075.

It is a cyclic number.

It is not a de Polignac number, because 57006677 - 2¹⁰ = 57005653 is a prime.

It is a super-2 number, since 2×57006677² = 6499522445164658, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57006677.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57006679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5099 + ... + 11832.

It is an arithmetic number, because the mean of its divisors is an integer number (4503912).

Almost surely, 2^57006677 is an apocalyptic number.

It is an amenable number.

57006677 is a deficient number, since it is larger than the sum of its proper divisors (15055915).

57006677 is a wasteful number, since it uses less digits than its factorization.

57006677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16988.

The product of its (nonzero) digits is 61740, while the sum is 38.

The square root of 57006677 is about 7550.2766174492. The cubic root of 57006677 is about 384.8651397001.

The spelling of 57006677 in words is "fifty-seven million, six thousand, six hundred seventy-seven".