13768125 has 40 divisors (see below), whose sum is σ = 26241600. Its totient is φ = 6288000.

The previous prime is 13768109. The next prime is 13768129. The reversal of 13768125 is 52186731.

It is not a de Polignac number, because 13768125 - 2⁴ = 13768109 is a prime.

It is a super-2 number, since 2×13768125² = 379122532031250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13768129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12601 + ... + 13649.

It is an arithmetic number, because the mean of its divisors is an integer number (656040).

Almost surely, 2^13768125 is an apocalyptic number.

13768125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13768125 is a deficient number, since it is larger than the sum of its proper divisors (12473475).

13768125 is an equidigital number, since it uses as much as digits as its factorization.

13768125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1064 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 13768125 is about 3710.5424131790. The cubic root of 13768125 is about 239.6762126760.

The spelling of 13768125 in words is "thirteen million, seven hundred sixty-eight thousand, one hundred twenty-five".