57005377 has 16 divisors (see below), whose sum is σ = 70499520. Its totient is φ = 45316800.

The previous prime is 57005371. The next prime is 57005381. The reversal of 57005377 is 77350075.

57005377 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 57005377 - 2¹⁵ = 56972609 is a prime.

It is a super-2 number, since 2×57005377² = 6499226013824258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57005371) 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, 7774 + ... + 13207.

It is an arithmetic number, because the mean of its divisors is an integer number (4406220).

Almost surely, 2^57005377 is an apocalyptic number.

It is an amenable number.

57005377 is a deficient number, since it is larger than the sum of its proper divisors (13494143).

57005377 is a wasteful number, since it uses less digits than its factorization.

57005377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21024.

The product of its (nonzero) digits is 25725, while the sum is 34.

The square root of 57005377 is about 7550.1905273973. The cubic root of 57005377 is about 384.8622141452.

The spelling of 57005377 in words is "fifty-seven million, five thousand, three hundred seventy-seven".