82473632 has 24 divisors (see below), whose sum is σ = 166332852. Its totient is φ = 40230400.

The previous prime is 82473619. The next prime is 82473637. The reversal of 82473632 is 23637428.

It can be written as a sum of positive squares in 2 ways, for example, as 82373776 + 99856 = 9076^2 + 316^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82473592 and 82473601.

It is not an unprimeable number, because it can be changed into a prime (82473637) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30119 + ... + 32742.

Almost surely, 2^82473632 is an apocalyptic number.

82473632 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

82473632 is an abundant number, since it is smaller than the sum of its proper divisors (83859220).

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

82473632 is a wasteful number, since it uses less digits than its factorization.

82473632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62912 (or 62904 counting only the distinct ones).

The product of its digits is 48384, while the sum is 35.

The square root of 82473632 is about 9081.4994356659. The cubic root of 82473632 is about 435.2830007674.

It can be divided in two parts, 82 and 473632, that multiplied together give a square (38837824 = 6232²).

The spelling of 82473632 in words is "eighty-two million, four hundred seventy-three thousand, six hundred thirty-two".