83257564 has 12 divisors (see below), whose sum is σ = 156908584. Its totient is φ = 38426544.

The previous prime is 83257561. The next prime is 83257591. The reversal of 83257564 is 46575238.

It is a super-7 number, since 7×83257564⁷ (a number of 57 digits) contains 7777777 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83257561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 800502 + ... + 800605.

Almost surely, 2^83257564 is an apocalyptic number.

It is an amenable number.

83257564 is a deficient number, since it is larger than the sum of its proper divisors (73651020).

83257564 is a wasteful number, since it uses less digits than its factorization.

83257564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601124 (or 1601122 counting only the distinct ones).

The product of its digits is 201600, while the sum is 40.

The square root of 83257564 is about 9124.5582906791. The cubic root of 83257564 is about 436.6578110073.

The spelling of 83257564 in words is "eighty-three million, two hundred fifty-seven thousand, five hundred sixty-four".