83613257 has 36 divisors (see below), whose sum is σ = 110151360. Its totient is φ = 63135072.

The previous prime is 83613247. The next prime is 83613311. The reversal of 83613257 is 75231638.

It is not a de Polignac number, because 83613257 - 2⁶ = 83613193 is a prime.

It is a super-2 number, since 2×83613257² = 13982353492296098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83613247) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 190244 + ... + 190682.

It is an arithmetic number, because the mean of its divisors is an integer number (3059760).

Almost surely, 2^83613257 is an apocalyptic number.

It is an amenable number.

83613257 is a deficient number, since it is larger than the sum of its proper divisors (26538103).

83613257 is a wasteful number, since it uses less digits than its factorization.

83613257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 482 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 83613257 is about 9144.0284885820. The cubic root of 83613257 is about 437.2787574705.

The spelling of 83613257 in words is "eighty-three million, six hundred thirteen thousand, two hundred fifty-seven".