82624 has 14 divisors (see below), whose sum is σ = 164084. Its totient is φ = 41280.

The previous prime is 82619. The next prime is 82633. The reversal of 82624 is 42628.

It is an Ulam number.

It is a d-powerful number, because it can be written as 8⁵ + 2⁷ + 6⁶ + 2¹¹ + 4⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 82595 and 82604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 582 + ... + 709.

2⁸²⁶²⁴ is an apocalyptic number.

It is an amenable number.

82624 is a deficient number, since it is larger than the sum of its proper divisors (81460).

82624 is a wasteful number, since it uses less digits than its factorization.

82624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1293 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 82624 is about 287.4439075715. The cubic root of 82624 is about 43.5547379796.

The spelling of 82624 in words is "eighty-two thousand, six hundred twenty-four".