82810312 has 32 divisors (see below), whose sum is σ = 172985400. Its totient is φ = 36900864.

The previous prime is 82810307. The next prime is 82810319. The reversal of 82810312 is 21301828.

It can be written as a sum of positive squares in 4 ways, for example, as 35117476 + 47692836 = 5926^2 + 6906^2 .

It is not an unprimeable number, because it can be changed into a prime (82810319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10713 + ... + 16744.

Almost surely, 2^82810312 is an apocalyptic number.

It is an amenable number.

82810312 is an abundant number, since it is smaller than the sum of its proper divisors (90175088).

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

82810312 is a wasteful number, since it uses less digits than its factorization.

82810312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27505 (or 27501 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 82810312 is about 9100.0171428410. The cubic root of 82810312 is about 435.8745114827.

The spelling of 82810312 in words is "eighty-two million, eight hundred ten thousand, three hundred twelve".