13744125 has 48 divisors (see below), whose sum is σ = 26120640. Its totient is φ = 6933600.

The previous prime is 13744123. The next prime is 13744139. The reversal of 13744125 is 52144731.

It is not a de Polignac number, because 13744125 - 2¹ = 13744123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13744121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21054 + ... + 21696.

It is an arithmetic number, because the mean of its divisors is an integer number (544180).

Almost surely, 2^13744125 is an apocalyptic number.

13744125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13744125 is a deficient number, since it is larger than the sum of its proper divisors (12376515).

13744125 is a wasteful number, since it uses less digits than its factorization.

13744125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 670 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 13744125 is about 3707.3069740716. The cubic root of 13744125 is about 239.5368672752.

Adding to 13744125 its reverse (52144731), we get a palindrome (65888856).

The spelling of 13744125 in words is "thirteen million, seven hundred forty-four thousand, one hundred twenty-five".