82312552 has 48 divisors (see below), whose sum is σ = 182628000. Its totient is φ = 34669152.

The previous prime is 82312523. The next prime is 82312567. The reversal of 82312552 is 25521328.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 82312552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21349 + ... + 24907.

It is an arithmetic number, because the mean of its divisors is an integer number (3804750).

Almost surely, 2^82312552 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 82312552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91314000).

82312552 is an abundant number, since it is smaller than the sum of its proper divisors (100315448).

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

82312552 is a wasteful number, since it uses less digits than its factorization.

82312552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 3627 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 82312552 is about 9072.6265215758. The cubic root of 82312552 is about 434.9994310117. Note that the first 3 decimals are identical.

The spelling of 82312552 in words is "eighty-two million, three hundred twelve thousand, five hundred fifty-two".