13395713 has 2 divisors, whose sum is σ = 13395714. Its totient is φ = 13395712.

The previous prime is 13395691. The next prime is 13395727. The reversal of 13395713 is 31759331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12159169 + 1236544 = 3487^2 + 1112^2 .

It is an emirp because it is prime and its reverse (31759331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13395713 - 2⁶ = 13395649 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13395713.

It is not a weakly prime, because it can be changed into another prime (13395743) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6697856 + 6697857.

It is an arithmetic number, because the mean of its divisors is an integer number (6697857).

Almost surely, 2^13395713 is an apocalyptic number.

It is an amenable number.

13395713 is a deficient number, since it is larger than the sum of its proper divisors (1).

13395713 is an equidigital number, since it uses as much as digits as its factorization.

13395713 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8505, while the sum is 32.

The square root of 13395713 is about 3660.0154371259. The cubic root of 13395713 is about 237.4954414638.

It can be divided in two parts, 13395 and 713, that multiplied together give a triangular number (9550635 = T₄₃₇₀).

The spelling of 13395713 in words is "thirteen million, three hundred ninety-five thousand, seven hundred thirteen".