83872013 has 2 divisors, whose sum is σ = 83872014. Its totient is φ = 83872012.

The previous prime is 83871979. The next prime is 83872027. The reversal of 83872013 is 31027838.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42745444 + 41126569 = 6538^2 + 6413^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-83872013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83872073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41936006 + 41936007.

It is an arithmetic number, because the mean of its divisors is an integer number (41936007).

Almost surely, 2^83872013 is an apocalyptic number.

It is an amenable number.

83872013 is a deficient number, since it is larger than the sum of its proper divisors (1).

83872013 is an equidigital number, since it uses as much as digits as its factorization.

83872013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 83872013 is about 9158.1664649645. The cubic root of 83872013 is about 437.7293717516.

The spelling of 83872013 in words is "eighty-three million, eight hundred seventy-two thousand, thirteen".