99972013 has 2 divisors, whose sum is σ = 99972014. Its totient is φ = 99972012.

The previous prime is 99971953. The next prime is 99972043. The reversal of 99972013 is 31027999.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98366724 + 1605289 = 9918^2 + 1267^2 .

It is a cyclic number.

It is not a de Polignac number, because 99972013 - 2¹⁷ = 99840941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (99972043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 49986006 + 49986007.

It is an arithmetic number, because the mean of its divisors is an integer number (49986007).

Almost surely, 2^99972013 is an apocalyptic number.

It is an amenable number.

99972013 is a deficient number, since it is larger than the sum of its proper divisors (1).

99972013 is an equidigital number, since it uses as much as digits as its factorization.

99972013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30618, while the sum is 40.

The square root of 99972013 is about 9998.6005520773. The cubic root of 99972013 is about 464.1155779388.

The spelling of 99972013 in words is "ninety-nine million, nine hundred seventy-two thousand, thirteen".