13785804 has 18 divisors (see below), whose sum is σ = 34847540. Its totient is φ = 4595256.

The previous prime is 13785803. The next prime is 13785823. The reversal of 13785804 is 40858731.

13785804 = T₉₉₇ + T₉₉₈ + ... + T₁₀₂₃.

13785804 is a `hidden beast` number, since 1 + 3 + 78 + 580 + 4 = 666.

13785804 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 382939 = 13785804 / (1 + 3 + 7 + 8 + 5 + 8 + 0 + 4).

It is not an unprimeable number, because it can be changed into a prime (13785803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 191434 + ... + 191505.

Almost surely, 2^13785804 is an apocalyptic number.

It is an amenable number.

13785804 is an abundant number, since it is smaller than the sum of its proper divisors (21061736).

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

13785804 is a wasteful number, since it uses less digits than its factorization.

13785804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382949 (or 382944 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 13785804 is about 3712.9239151914. The cubic root of 13785804 is about 239.7787544393.

The spelling of 13785804 in words is "thirteen million, seven hundred eighty-five thousand, eight hundred four".