13784085 has 24 divisors (see below), whose sum is σ = 27306240. Its totient is φ = 6301152.

The previous prime is 13784051. The next prime is 13784087. The reversal of 13784085 is 58048731.

It is not a de Polignac number, because 13784085 - 2¹⁰ = 13783061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13784087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21565 + ... + 22194.

It is an arithmetic number, because the mean of its divisors is an integer number (1137760).

Almost surely, 2^13784085 is an apocalyptic number.

13784085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13784085 is a deficient number, since it is larger than the sum of its proper divisors (13522155).

13784085 is a wasteful number, since it uses less digits than its factorization.

13784085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43777 (or 43774 counting only the distinct ones).

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

The square root of 13784085 is about 3712.6924192559. The cubic root of 13784085 is about 239.7687877419.

The spelling of 13784085 in words is "thirteen million, seven hundred eighty-four thousand, eighty-five".