96072013 has 2 divisors, whose sum is σ = 96072014. Its totient is φ = 96072012.

The previous prime is 96071993. The next prime is 96072047. The reversal of 96072013 is 31027069.

It is the 4002-nd star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73051209 + 23020804 = 8547^2 + 4798^2 .

It is a cyclic number.

It is not a de Polignac number, because 96072013 - 2¹⁷ = 95940941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (96072413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48036006 + 48036007.

It is an arithmetic number, because the mean of its divisors is an integer number (48036007).

Almost surely, 2^96072013 is an apocalyptic number.

It is an amenable number.

96072013 is a deficient number, since it is larger than the sum of its proper divisors (1).

96072013 is an equidigital number, since it uses as much as digits as its factorization.

96072013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 96072013 is about 9801.6331802409. The cubic root of 96072013 is about 458.0001604978. Note that the first 3 decimals are identical.

The spelling of 96072013 in words is "ninety-six million, seventy-two thousand, thirteen".