13825400 has 24 divisors (see below), whose sum is σ = 32144520. Its totient is φ = 5530080.

The previous prime is 13825391. The next prime is 13825453. The reversal of 13825400 is 452831.

It is a super-2 number, since 2×13825400² = 382283370320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34364 + ... + 34763.

It is an arithmetic number, because the mean of its divisors is an integer number (1339355).

Almost surely, 2^13825400 is an apocalyptic number.

13825400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13825400 is an abundant number, since it is smaller than the sum of its proper divisors (18319120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13825400 is a wasteful number, since it uses less digits than its factorization.

13825400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69143 (or 69134 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 13825400 is about 3718.2522776165. The cubic root of 13825400 is about 240.0081015784.

The spelling of 13825400 in words is "thirteen million, eight hundred twenty-five thousand, four hundred".