11633985 has 48 divisors (see below), whose sum is σ = 23175360. Its totient is φ = 5339520.

The previous prime is 11633971. The next prime is 11634011. The reversal of 11633985 is 58933611.

It is a happy number.

11633985 is a `hidden beast` number, since 11 + 633 + 9 + 8 + 5 = 666.

It is not a de Polignac number, because 11633985 - 2¹² = 11629889 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8787 + ... + 10023.

It is an arithmetic number, because the mean of its divisors is an integer number (482820).

Almost surely, 2^11633985 is an apocalyptic number.

11633985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11633985 is a deficient number, since it is larger than the sum of its proper divisors (11541375).

11633985 is a wasteful number, since it uses less digits than its factorization.

11633985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1275 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 11633985 is about 3410.8627940743. The cubic root of 11633985 is about 226.5910924041.

The spelling of 11633985 in words is "eleven million, six hundred thirty-three thousand, nine hundred eighty-five".