13768825 has 48 divisors (see below), whose sum is σ = 21248640. Its totient is φ = 8640000.

The previous prime is 13768819. The next prime is 13768837. The reversal of 13768825 is 52886731.

It is not a de Polignac number, because 13768825 - 2¹⁵ = 13736057 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136275 + ... + 136375.

It is an arithmetic number, because the mean of its divisors is an integer number (442680).

Almost surely, 2^13768825 is an apocalyptic number.

It is an amenable number.

13768825 is a deficient number, since it is larger than the sum of its proper divisors (7479815).

13768825 is a wasteful number, since it uses less digits than its factorization.

13768825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 173 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The square root of 13768825 is about 3710.6367378120. The cubic root of 13768825 is about 239.6802744856.

It can be divided in two parts, 1376 and 8825, that added together give a palindrome (10201).

The spelling of 13768825 in words is "thirteen million, seven hundred sixty-eight thousand, eight hundred twenty-five".