82312944 has 120 divisors (see below), whose sum is σ = 251055360. Its totient is φ = 23167872.

The previous prime is 82312931. The next prime is 82312949. The reversal of 82312944 is 44921328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82312949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185587 + ... + 186029.

It is an arithmetic number, because the mean of its divisors is an integer number (2092128).

Almost surely, 2^82312944 is an apocalyptic number.

82312944 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82312944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125527680).

82312944 is an abundant number, since it is smaller than the sum of its proper divisors (168742416).

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

82312944 is a wasteful number, since it uses less digits than its factorization.

82312944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 534 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 82312944 is about 9072.6481249964. The cubic root of 82312944 is about 435.0001215484. Note that the first 3 decimals are identical.

It can be divided in two parts, 8231 and 2944, that added together give a triangular number (11175 = T₁₄₉).

The spelling of 82312944 in words is "eighty-two million, three hundred twelve thousand, nine hundred forty-four".