13782015 has 32 divisors (see below), whose sum is σ = 26389440. Its totient is φ = 6784128.

The previous prime is 13782007. The next prime is 13782017. The reversal of 13782015 is 51028731.

13782015 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13782015 - 2³ = 13782007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13782015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13782017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2172 + ... + 5681.

It is an arithmetic number, because the mean of its divisors is an integer number (824670).

Almost surely, 2^13782015 is an apocalyptic number.

13782015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13782015 is a deficient number, since it is larger than the sum of its proper divisors (12607425).

13782015 is a wasteful number, since it uses less digits than its factorization.

13782015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7880 (or 7874 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 13782015 is about 3712.4136353591. The cubic root of 13782015 is about 239.7567848599.

The spelling of 13782015 in words is "thirteen million, seven hundred eighty-two thousand, fifteen".