83057832 has 128 divisors (see below), whose sum is σ = 271152000. Its totient is φ = 23224320.

The previous prime is 83057831. The next prime is 83057833. The reversal of 83057832 is 23875038.

83057832 is a `hidden beast` number, since 83 + 0 + 578 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (83057831) and next prime (83057833).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83057831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29544 + ... + 32232.

It is an arithmetic number, because the mean of its divisors is an integer number (2118375).

Almost surely, 2^83057832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83057832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135576000).

83057832 is an abundant number, since it is smaller than the sum of its proper divisors (188094168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83057832 is a wasteful number, since it uses less digits than its factorization.

83057832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 83057832 is about 9113.6069698007. The cubic root of 83057832 is about 436.3083557812.

The spelling of 83057832 in words is "eighty-three million, fifty-seven thousand, eight hundred thirty-two".