13782084 has 12 divisors (see below), whose sum is σ = 32158224. Its totient is φ = 4594024.

The previous prime is 13782077. The next prime is 13782089. The reversal of 13782084 is 48028731.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13782089) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 574242 + ... + 574265.

It is an arithmetic number, because the mean of its divisors is an integer number (2679852).

Almost surely, 2^13782084 is an apocalyptic number.

It is an amenable number.

13782084 is an abundant number, since it is smaller than the sum of its proper divisors (18376140).

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

13782084 is a wasteful number, since it uses less digits than its factorization.

13782084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148514 (or 1148512 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 13782084 is about 3712.4229284929. The cubic root of 13782084 is about 239.7571849753.

The spelling of 13782084 in words is "thirteen million, seven hundred eighty-two thousand, eighty-four".