82632013 has 2 divisors, whose sum is σ = 82632014. Its totient is φ = 82632012.

The previous prime is 82631999. The next prime is 82632029. The reversal of 82632013 is 31023628.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61811044 + 20820969 = 7862^2 + 4563^2 .

It is a cyclic number.

It is not a de Polignac number, because 82632013 - 2⁹ = 82631501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82632113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41316006 + 41316007.

It is an arithmetic number, because the mean of its divisors is an integer number (41316007).

Almost surely, 2^82632013 is an apocalyptic number.

It is an amenable number.

82632013 is a deficient number, since it is larger than the sum of its proper divisors (1).

82632013 is an equidigital number, since it uses as much as digits as its factorization.

82632013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 82632013 is about 9090.2152339755. The cubic root of 82632013 is about 435.5614593548.

The spelling of 82632013 in words is "eighty-two million, six hundred thirty-two thousand, thirteen".