57661667 has 16 divisors (see below), whose sum is σ = 70371840. Its totient is φ = 46170432.

The previous prime is 57661663. The next prime is 57661673. The reversal of 57661667 is 76616675.

57661667 = 38³ + 39³ + ... + 123³.

It is not a de Polignac number, because 57661667 - 2² = 57661663 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57661663) 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 15 ways as a sum of consecutive naturals, for example, 2759 + ... + 11087.

It is an arithmetic number, because the mean of its divisors is an integer number (4398240).

Almost surely, 2^57661667 is an apocalyptic number.

57661667 is a deficient number, since it is larger than the sum of its proper divisors (12710173).

57661667 is a wasteful number, since it uses less digits than its factorization.

57661667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8402.

The product of its digits is 317520, while the sum is 44.

The square root of 57661667 is about 7593.5279679474. The cubic root of 57661667 is about 386.3335260620. Note that the first 3 decimals are identical.

The spelling of 57661667 in words is "fifty-seven million, six hundred sixty-one thousand, six hundred sixty-seven".