13638593 has 2 divisors, whose sum is σ = 13638594. Its totient is φ = 13638592.

The previous prime is 13638551. The next prime is 13638623. The reversal of 13638593 is 39583631.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13601344 + 37249 = 3688^2 + 193^2 .

It is a cyclic number.

It is not a de Polignac number, because 13638593 - 2⁸ = 13638337 is a prime.

It is a super-2 number, since 2×13638593² = 372022438039298, which contains 22 as substring.

It is equal to p₈₈₈₀₈₆ and since 13638593 and 888086 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (13638503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6819296 + 6819297.

It is an arithmetic number, because the mean of its divisors is an integer number (6819297).

Almost surely, 2^13638593 is an apocalyptic number.

It is an amenable number.

13638593 is a deficient number, since it is larger than the sum of its proper divisors (1).

13638593 is an equidigital number, since it uses as much as digits as its factorization.

13638593 is an evil number, because the sum of its binary digits is even.

The product of its digits is 58320, while the sum is 38.

The square root of 13638593 is about 3693.0465743069. The cubic root of 13638593 is about 238.9222099385.

The spelling of 13638593 in words is "thirteen million, six hundred thirty-eight thousand, five hundred ninety-three".