83931013 has 2 divisors, whose sum is σ = 83931014. Its totient is φ = 83931012.

The previous prime is 83930993. The next prime is 83931053. The reversal of 83931013 is 31013938.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55383364 + 28547649 = 7442^2 + 5343^2 .

It is a cyclic number.

It is not a de Polignac number, because 83931013 - 2¹³ = 83922821 is a prime.

It is equal to p_4885300 and since 83931013 and 4885300 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83931053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41965506 + 41965507.

It is an arithmetic number, because the mean of its divisors is an integer number (41965507).

Almost surely, 2^83931013 is an apocalyptic number.

It is an amenable number.

83931013 is a deficient number, since it is larger than the sum of its proper divisors (1).

83931013 is an equidigital number, since it uses as much as digits as its factorization.

83931013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 83931013 is about 9161.3870674696. The cubic root of 83931013 is about 437.8319883399.

The spelling of 83931013 in words is "eighty-three million, nine hundred thirty-one thousand, thirteen".