57506967 has 12 divisors (see below), whose sum is σ = 94932240. Its totient is φ = 32861088.

The previous prime is 57506959. The next prime is 57506993. The reversal of 57506967 is 76960575.

It is a happy number.

57506967 is a `hidden beast` number, since 57 + 506 + 96 + 7 = 666.

It is not a de Polignac number, because 57506967 - 2³ = 57506959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57506927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 456342 + ... + 456467.

It is an arithmetic number, because the mean of its divisors is an integer number (7911020).

Almost surely, 2^57506967 is an apocalyptic number.

57506967 is a deficient number, since it is larger than the sum of its proper divisors (37425273).

57506967 is a wasteful number, since it uses less digits than its factorization.

57506967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912822 (or 912819 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 57506967 is about 7583.3348205127. The cubic root of 57506967 is about 385.9877196376.

The spelling of 57506967 in words is "fifty-seven million, five hundred six thousand, nine hundred sixty-seven".