82632113 has 2 divisors, whose sum is σ = 82632114. Its totient is φ = 82632112.

The previous prime is 82632089. The next prime is 82632119. The reversal of 82632113 is 31123628.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55830784 + 26801329 = 7472^2 + 5177^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82632113 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p_4814036 and since 82632113 and 4814036 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (82632119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41316056 + 41316057.

It is an arithmetic number, because the mean of its divisors is an integer number (41316057).

Almost surely, 2^82632113 is an apocalyptic number.

It is an amenable number.

82632113 is a deficient number, since it is larger than the sum of its proper divisors (1).

82632113 is an equidigital number, since it uses as much as digits as its factorization.

82632113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1728, while the sum is 26.

The square root of 82632113 is about 9090.2207343936. The cubic root of 82632113 is about 435.5616350580.

The spelling of 82632113 in words is "eighty-two million, six hundred thirty-two thousand, one hundred thirteen".