83064057 has 16 divisors (see below), whose sum is σ = 117666432. Its totient is φ = 51941120.

The previous prime is 83064053. The next prime is 83064061. The reversal of 83064057 is 75046038.

It is an interprime number because it is at equal distance from previous prime (83064053) and next prime (83064061).

It is not a de Polignac number, because 83064057 - 2² = 83064053 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (83064053) 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, 13243 + ... + 18479.

It is an arithmetic number, because the mean of its divisors is an integer number (7354152).

Almost surely, 2^83064057 is an apocalyptic number.

It is an amenable number.

83064057 is a deficient number, since it is larger than the sum of its proper divisors (34602375).

83064057 is a wasteful number, since it uses less digits than its factorization.

83064057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5568.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 83064057 is about 9113.9484857004. The cubic root of 83064057 is about 436.3192556229.

The spelling of 83064057 in words is "eighty-three million, sixty-four thousand, fifty-seven".