13712593 has 2 divisors, whose sum is σ = 13712594. Its totient is φ = 13712592.

The previous prime is 13712561. The next prime is 13712597. The reversal of 13712593 is 39521731.

13712593 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9684544 + 4028049 = 3112^2 + 2007^2 .

It is a cyclic number.

It is not a de Polignac number, because 13712593 - 2⁵ = 13712561 is a prime.

It is not a weakly prime, because it can be changed into another prime (13712597) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6856296 + 6856297.

It is an arithmetic number, because the mean of its divisors is an integer number (6856297).

Almost surely, 2^13712593 is an apocalyptic number.

It is an amenable number.

13712593 is a deficient number, since it is larger than the sum of its proper divisors (1).

13712593 is an equidigital number, since it uses as much as digits as its factorization.

13712593 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5670, while the sum is 31.

The square root of 13712593 is about 3703.0518494885. The cubic root of 13712593 is about 239.3535438551.

The spelling of 13712593 in words is "thirteen million, seven hundred twelve thousand, five hundred ninety-three".