16584013 has 2 divisors, whose sum is σ = 16584014. Its totient is φ = 16584012.

The previous prime is 16583999. The next prime is 16584019. The reversal of 16584013 is 31048561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12981609 + 3602404 = 3603^2 + 1898^2 .

It is a cyclic number.

It is not a de Polignac number, because 16584013 - 2¹⁷ = 16452941 is a prime.

It is equal to p_1066186 and since 16584013 and 1066186 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 (16584019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8292006 + 8292007.

It is an arithmetic number, because the mean of its divisors is an integer number (8292007).

Almost surely, 2^16584013 is an apocalyptic number.

It is an amenable number.

16584013 is a deficient number, since it is larger than the sum of its proper divisors (1).

16584013 is an equidigital number, since it uses as much as digits as its factorization.

16584013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 16584013 is about 4072.3473574832. The cubic root of 16584013 is about 255.0135222869.

It can be divided in two parts, 1658 and 4013, that added together give a triangular number (5671 = T₁₀₆).

The spelling of 16584013 in words is "sixteen million, five hundred eighty-four thousand, thirteen".