82308144 has 40 divisors (see below), whose sum is σ = 212955120. Its totient is φ = 27394048.

The previous prime is 82308113. The next prime is 82308151. The reversal of 82308144 is 44180328.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57712 + ... + 59120.

It is an arithmetic number, because the mean of its divisors is an integer number (5323878).

Almost surely, 2^82308144 is an apocalyptic number.

It is an amenable number.

82308144 is an abundant number, since it is smaller than the sum of its proper divisors (130646976).

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

82308144 is a wasteful number, since it uses less digits than its factorization.

82308144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 82308144 is about 9072.3835897740. The cubic root of 82308144 is about 434.9916658464.

It can be divided in two parts, 82308 and 144, that multiplied together give a cube (11852352 = 228³).

The spelling of 82308144 in words is "eighty-two million, three hundred eight thousand, one hundred forty-four".