82815304 has 48 divisors (see below), whose sum is σ = 183835260. Its totient is φ = 34742400.

The previous prime is 82815259. The next prime is 82815307. The reversal of 82815304 is 40351828.

It can be written as a sum of positive squares in 2 ways, for example, as 73994404 + 8820900 = 8602^2 + 2970^2 .

It is a super-2 number, since 2×82815304² = 13716749153224832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82815307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9294 + ... + 15874.

Almost surely, 2^82815304 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 82815304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91917630).

82815304 is an abundant number, since it is smaller than the sum of its proper divisors (101019956).

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

82815304 is a wasteful number, since it uses less digits than its factorization.

82815304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6622 (or 6607 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 82815304 is about 9100.2914239051. The cubic root of 82815304 is about 435.8832698196.

The spelling of 82815304 in words is "eighty-two million, eight hundred fifteen thousand, three hundred four".