13735913 has 2 divisors, whose sum is σ = 13735914. Its totient is φ = 13735912.

The previous prime is 13735903. The next prime is 13735921. The reversal of 13735913 is 31953731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8596624 + 5139289 = 2932^2 + 2267^2 .

It is a cyclic number.

It is not a de Polignac number, because 13735913 - 2¹⁴ = 13719529 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13735913.

It is not a weakly prime, because it can be changed into another prime (13735903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6867956 + 6867957.

It is an arithmetic number, because the mean of its divisors is an integer number (6867957).

Almost surely, 2^13735913 is an apocalyptic number.

It is an amenable number.

13735913 is a deficient number, since it is larger than the sum of its proper divisors (1).

13735913 is an equidigital number, since it uses as much as digits as its factorization.

13735913 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 13735913 is about 3706.1992660946. The cubic root of 13735913 is about 239.4891506774.

The spelling of 13735913 in words is "thirteen million, seven hundred thirty-five thousand, nine hundred thirteen".