82312632 has 32 divisors (see below), whose sum is σ = 228646800. Its totient is φ = 27437472.

The previous prime is 82312631. The next prime is 82312661. The reversal of 82312632 is 23621328.

82312632 is a `hidden beast` number, since 8 + 23 + 1 + 2 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 82312596 and 82312605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82312631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190323 + ... + 190754.

Almost surely, 2^82312632 is an apocalyptic number.

It is an amenable number.

82312632 is an abundant number, since it is smaller than the sum of its proper divisors (146334168).

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

82312632 is a wasteful number, since it uses less digits than its factorization.

82312632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381092 (or 381082 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 82312632 is about 9072.6309304413. The cubic root of 82312632 is about 434.9995719377. Note that the first 3 decimals are identical.

It can be divided in two parts, 82312 and 632, that added together give a square (82944 = 288²).

The spelling of 82312632 in words is "eighty-two million, three hundred twelve thousand, six hundred thirty-two".