82305432 has 96 divisors (see below), whose sum is σ = 257521680. Its totient is φ = 23470080.

The previous prime is 82305407. The next prime is 82305479. The reversal of 82305432 is 23450328.

It is a junction number, because it is equal to n+sod(n) for n = 82305396 and 82305405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10408 + ... + 16520.

Almost surely, 2^82305432 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 82305432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128760840).

82305432 is an abundant number, since it is smaller than the sum of its proper divisors (175216248).

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

82305432 is a wasteful number, since it uses less digits than its factorization.

82305432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6153 (or 6146 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 82305432 is about 9072.2341239631. The cubic root of 82305432 is about 434.9868882294.

The spelling of 82305432 in words is "eighty-two million, three hundred five thousand, four hundred thirty-two".