13633965 has 12 divisors (see below), whose sum is σ = 23632284. Its totient is φ = 7271424.

The previous prime is 13633943. The next prime is 13633979. The reversal of 13633965 is 56933631.

13633965 is a `hidden beast` number, since 13 + 633 + 9 + 6 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2223081 + 11410884 = 1491^2 + 3378^2 .

It is not a de Polignac number, because 13633965 - 2⁹ = 13633453 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon 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, 151444 + ... + 151533.

It is an arithmetic number, because the mean of its divisors is an integer number (1969357).

Almost surely, 2^13633965 is an apocalyptic number.

13633965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13633965 is a deficient number, since it is larger than the sum of its proper divisors (9998319).

13633965 is a wasteful number, since it uses less digits than its factorization.

13633965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302988 (or 302985 counting only the distinct ones).

The product of its digits is 43740, while the sum is 36.

The square root of 13633965 is about 3692.4199381977. The cubic root of 13633965 is about 238.8951822952.

The spelling of 13633965 in words is "thirteen million, six hundred thirty-three thousand, nine hundred sixty-five".