82975104 has 160 divisors (see below), whose sum is σ = 253257840. Its totient is φ = 26956800.

The previous prime is 82975097. The next prime is 82975141. The reversal of 82975104 is 40157928.

82975104 = 437² + 438² + ... + 692².

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 549429 + ... + 549579.

Almost surely, 2^82975104 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 82975104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126628920).

82975104 is an abundant number, since it is smaller than the sum of its proper divisors (170282736).

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

82975104 is a wasteful number, since it uses less digits than its factorization.

82975104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 82975104 is about 9109.0671311611. The cubic root of 82975104 is about 436.1634490847.

It can be divided in two parts, 8 and 2975104, that multiplied together give a palindrome (23800832).

The spelling of 82975104 in words is "eighty-two million, nine hundred seventy-five thousand, one hundred four".