82964224 has 72 divisors (see below), whose sum is σ = 192364928. Its totient is φ = 34974720.

The previous prime is 82964221. The next prime is 82964257. The reversal of 82964224 is 42246928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82964221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119719 + ... + 120409.

Almost surely, 2^82964224 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 82964224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96182464).

82964224 is an abundant number, since it is smaller than the sum of its proper divisors (109400704).

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

82964224 is an equidigital number, since it uses as much as digits as its factorization.

82964224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 767 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 82964224 is about 9108.4699044351. The cubic root of 82964224 is about 436.1443844676.

The spelling of 82964224 in words is "eighty-two million, nine hundred sixty-four thousand, two hundred twenty-four".