82624045 has 36 divisors (see below), whose sum is σ = 119748564. Its totient is φ = 54566400.

The previous prime is 82624043. The next prime is 82624051. The reversal of 82624045 is 54042628.

It can be written as a sum of positive squares in 6 ways, for example, as 7038409 + 75585636 = 2653^2 + 8694^2 .

It is not a de Polignac number, because 82624045 - 2¹ = 82624043 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82623998 and 82624016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82624043) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 205845 + ... + 206245.

It is an arithmetic number, because the mean of its divisors is an integer number (3326349).

Almost surely, 2^82624045 is an apocalyptic number.

It is an amenable number.

82624045 is a deficient number, since it is larger than the sum of its proper divisors (37124519).

82624045 is a wasteful number, since it uses less digits than its factorization.

82624045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 82624045 is about 9089.7769499587. The cubic root of 82624045 is about 435.5474588678.

The spelling of 82624045 in words is "eighty-two million, six hundred twenty-four thousand, forty-five".