39972013 has 2 divisors, whose sum is σ = 39972014. Its totient is φ = 39972012.

The previous prime is 39971977. The next prime is 39972059. The reversal of 39972013 is 31027993.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35964009 + 4008004 = 5997^2 + 2002^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-39972013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 39972013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (39972073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19986006 + 19986007.

It is an arithmetic number, because the mean of its divisors is an integer number (19986007).

Almost surely, 2^39972013 is an apocalyptic number.

It is an amenable number.

39972013 is a deficient number, since it is larger than the sum of its proper divisors (1).

39972013 is an equidigital number, since it uses as much as digits as its factorization.

39972013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10206, while the sum is 34.

The square root of 39972013 is about 6322.3423665600. The cubic root of 39972013 is about 341.9154088976.

The spelling of 39972013 in words is "thirty-nine million, nine hundred seventy-two thousand, thirteen".