82443904 has 32 divisors (see below), whose sum is σ = 166112100. Its totient is φ = 40753152.

The previous prime is 82443899. The next prime is 82443913. The reversal of 82443904 is 40934428.

It can be written as a sum of positive squares in 2 ways, for example, as 81866304 + 577600 = 9048^2 + 760^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×82443904² = 13593994613522432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82443904.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7774 + ... + 15010.

Almost surely, 2^82443904 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 82443904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83056050).

82443904 is an abundant number, since it is smaller than the sum of its proper divisors (83668196).

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

82443904 is an equidigital number, since it uses as much as digits as its factorization.

82443904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7340 (or 7328 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 82443904 is about 9079.8625540258. The cubic root of 82443904 is about 435.2306945623.

The spelling of 82443904 in words is "eighty-two million, four hundred forty-three thousand, nine hundred four".