13784125 has 8 divisors (see below), whose sum is σ = 17202744. Its totient is φ = 11027200.

The previous prime is 13784117. The next prime is 13784131. The reversal of 13784125 is 52148731.

13784125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 344569 + 13439556 = 587^2 + 3666^2 .

It is not a de Polignac number, because 13784125 - 2³ = 13784117 is a prime.

It is a super-3 number, since 3×13784125³ (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55012 + ... + 55261.

It is an arithmetic number, because the mean of its divisors is an integer number (2150343).

Almost surely, 2^13784125 is an apocalyptic number.

It is an amenable number.

13784125 is a deficient number, since it is larger than the sum of its proper divisors (3418619).

13784125 is an equidigital number, since it uses as much as digits as its factorization.

13784125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110288 (or 110278 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 13784125 is about 3712.6978061781. The cubic root of 13784125 is about 239.7690196698.

The spelling of 13784125 in words is "thirteen million, seven hundred eighty-four thousand, one hundred twenty-five".