13785966 has 24 divisors (see below), whose sum is σ = 29955744. Its totient is φ = 4582080.

The previous prime is 13785953. The next prime is 13785971. The reversal of 13785966 is 66958731.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6870 + ... + 8646.

It is an arithmetic number, because the mean of its divisors is an integer number (1248156).

Almost surely, 2^13785966 is an apocalyptic number.

13785966 is an abundant number, since it is smaller than the sum of its proper divisors (16169778).

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

13785966 is a wasteful number, since it uses less digits than its factorization.

13785966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 2213 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 13785966 is about 3712.9457308181. The cubic root of 13785966 is about 239.7796936665.

The spelling of 13785966 in words is "thirteen million, seven hundred eighty-five thousand, nine hundred sixty-six".