82624233 has 24 divisors (see below), whose sum is σ = 117966592. Its totient is φ = 51427584.

The previous prime is 82624183. The next prime is 82624237. The reversal of 82624233 is 33242628.

It is not a de Polignac number, because 82624233 - 2⁸ = 82623977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82624233.

It is not an unprimeable number, because it can be changed into a prime (82624237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135816 + ... + 136422.

Almost surely, 2^82624233 is an apocalyptic number.

It is an amenable number.

82624233 is a deficient number, since it is larger than the sum of its proper divisors (35342359).

82624233 is a wasteful number, since it uses less digits than its factorization.

82624233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 784 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 82624233 is about 9089.7872912406. The cubic root of 82624233 is about 435.5477892110.

The spelling of 82624233 in words is "eighty-two million, six hundred twenty-four thousand, two hundred thirty-three".