82821924 has 18 divisors (see below), whose sum is σ = 209355510. Its totient is φ = 27607296.

The previous prime is 82821917. The next prime is 82821961. The reversal of 82821924 is 42912828.

It can be written as a sum of positive squares in only one way, i.e., 50126400 + 32695524 = 7080^2 + 5718^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2300609 = 82821924 / (8 + 2 + 8 + 2 + 1 + 9 + 2 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1150269 + ... + 1150340.

Almost surely, 2^82821924 is an apocalyptic number.

It is an amenable number.

82821924 is an abundant number, since it is smaller than the sum of its proper divisors (126533586).

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

82821924 is a wasteful number, since it uses less digits than its factorization.

82821924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300619 (or 2300614 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 82821924 is about 9100.6551412522. The cubic root of 82821924 is about 435.8948838982.

The spelling of 82821924 in words is "eighty-two million, eight hundred twenty-one thousand, nine hundred twenty-four".