84000013 has 2 divisors, whose sum is σ = 84000014. Its totient is φ = 84000012.

The previous prime is 83999999. The next prime is 84000017. The reversal of 84000013 is 31000048.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83229129 + 770884 = 9123^2 + 878^2 .

It is a cyclic number.

It is not a de Polignac number, because 84000013 - 2²⁵ = 50445581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (84000017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42000006 + 42000007.

It is an arithmetic number, because the mean of its divisors is an integer number (42000007).

Almost surely, 2^84000013 is an apocalyptic number.

It is an amenable number.

84000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

84000013 is an equidigital number, since it uses as much as digits as its factorization.

84000013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 84000013 is about 9165.1520991198. The cubic root of 84000013 is about 437.9519365815.

The spelling of 84000013 in words is "eighty-four million, thirteen", and thus it is an aban number.