13735625 has 10 divisors (see below), whose sum is σ = 17164818. Its totient is φ = 10988000.

The previous prime is 13735597. The next prime is 13735627. The reversal of 13735625 is 52653731.

13735625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 5607424 + 8128201 = 2368^2 + 2851^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13735625 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13735591 and 13735600.

It is not an unprimeable number, because it can be changed into a prime (13735627) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10364 + ... + 11613.

Almost surely, 2^13735625 is an apocalyptic number.

It is an amenable number.

13735625 is a deficient number, since it is larger than the sum of its proper divisors (3429193).

13735625 is an frugal number, since it uses more digits than its factorization.

13735625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21997 (or 21982 counting only the distinct ones).

The product of its digits is 18900, while the sum is 32.

The square root of 13735625 is about 3706.1604120707. The cubic root of 13735625 is about 239.4874768812.

The spelling of 13735625 in words is "thirteen million, seven hundred thirty-five thousand, six hundred twenty-five".