13725873 has 24 divisors (see below), whose sum is σ = 22783488. Its totient is φ = 7800192.

The previous prime is 13725841. The next prime is 13725889. The reversal of 13725873 is 37852731.

13725873 is a `hidden beast` number, since 1 + 3 + 72 + 587 + 3 = 666.

It is not a de Polignac number, because 13725873 - 2⁵ = 13725841 is a prime.

It is a super-2 number, since 2×13725873² = 376799179224258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13725473) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13561 + ... + 14537.

It is an arithmetic number, because the mean of its divisors is an integer number (949312).

Almost surely, 2^13725873 is an apocalyptic number.

It is an amenable number.

13725873 is a deficient number, since it is larger than the sum of its proper divisors (9057615).

13725873 is a wasteful number, since it uses less digits than its factorization.

13725873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1210 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 13725873 is about 3704.8445311511. The cubic root of 13725873 is about 239.4307864671.

It can be divided in two parts, 13 and 725873, that multiplied together give a palindrome (9436349).

The spelling of 13725873 in words is "thirteen million, seven hundred twenty-five thousand, eight hundred seventy-three".