82583808 has 72 divisors (see below), whose sum is σ = 221144448. Its totient is φ = 27359232.

The previous prime is 82583797. The next prime is 82583819. The reversal of 82583808 is 80838528.

It is an interprime number because it is at equal distance from previous prime (82583797) and next prime (82583819).

It is a self number, because there is not a number n which added to its sum of digits gives 82583808.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224841 + ... + 225207.

Almost surely, 2^82583808 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 82583808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110572224).

82583808 is an abundant number, since it is smaller than the sum of its proper divisors (138560640).

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

82583808 is a wasteful number, since it uses less digits than its factorization.

82583808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 82583808 is about 9087.5633697928. The cubic root of 82583808 is about 435.4767451157.

The spelling of 82583808 in words is "eighty-two million, five hundred eighty-three thousand, eight hundred eight".