82630013 has 12 divisors (see below), whose sum is σ = 89034912. Its totient is φ = 76655040.

The previous prime is 82629977. The next prime is 82630039. The reversal of 82630013 is 31003628.

It is not a de Polignac number, because 82630013 - 2⁶ = 82629949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82630073) 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 11 ways as a sum of consecutive naturals, for example, 18506 + ... + 22532.

It is an arithmetic number, because the mean of its divisors is an integer number (7419576).

Almost surely, 2^82630013 is an apocalyptic number.

It is an amenable number.

82630013 is a deficient number, since it is larger than the sum of its proper divisors (6404899).

82630013 is a wasteful number, since it uses less digits than its factorization.

82630013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 82630013 is about 9090.1052249135. The cubic root of 82630013 is about 435.5579452609.

The spelling of 82630013 in words is "eighty-two million, six hundred thirty thousand, thirteen".