83664057 has 16 divisors (see below), whose sum is σ = 114272640. Its totient is φ = 54432000.

The previous prime is 83664047. The next prime is 83664103. The reversal of 83664057 is 75046638.

It is not a de Polignac number, because 83664057 - 2⁷ = 83663929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83664017) 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, 19569 + ... + 23457.

It is an arithmetic number, because the mean of its divisors is an integer number (7142040).

Almost surely, 2^83664057 is an apocalyptic number.

It is an amenable number.

83664057 is a deficient number, since it is larger than the sum of its proper divisors (30608583).

83664057 is a wasteful number, since it uses less digits than its factorization.

83664057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064.

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 83664057 is about 9146.8058359189. The cubic root of 83664057 is about 437.3672971131.

The spelling of 83664057 in words is "eighty-three million, six hundred sixty-four thousand, fifty-seven".