13785084 has 18 divisors (see below), whose sum is σ = 34845720. Its totient is φ = 4595016.

The previous prime is 13785041. The next prime is 13785091. The reversal of 13785084 is 48058731.

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

It is a super-4 number, since 4×13785084⁴ (a number of 30 digits) contains 4444 as substring.

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: 382919 = 13785084 / (1 + 3 + 7 + 8 + 5 + 0 + 8 + 4).

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, 191424 + ... + 191495.

Almost surely, 2^13785084 is an apocalyptic number.

It is an amenable number.

13785084 is an abundant number, since it is smaller than the sum of its proper divisors (21060636).

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

13785084 is a wasteful number, since it uses less digits than its factorization.

13785084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382929 (or 382924 counting only the distinct ones).

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

The square root of 13785084 is about 3712.8269552997. The cubic root of 13785084 is about 239.7745800072.

The spelling of 13785084 in words is "thirteen million, seven hundred eighty-five thousand, eighty-four".