82437432 has 128 divisors (see below), whose sum is σ = 265420800. Its totient is φ = 20707200.

The previous prime is 82437373. The next prime is 82437449. The reversal of 82437432 is 23473428.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 82437393 and 82437402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56569 + ... + 58007.

It is an arithmetic number, because the mean of its divisors is an integer number (2073600).

Almost surely, 2^82437432 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 82437432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132710400).

82437432 is an abundant number, since it is smaller than the sum of its proper divisors (182983368).

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

82437432 is a wasteful number, since it uses less digits than its factorization.

82437432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1493 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 82437432 is about 9079.5061539712. The cubic root of 82437432 is about 435.2193054576.

The spelling of 82437432 in words is "eighty-two million, four hundred thirty-seven thousand, four hundred thirty-two".