33863985 has 24 divisors (see below), whose sum is σ = 61788480. Its totient is φ = 17109792.

The previous prime is 33863971. The next prime is 33863989. The reversal of 33863985 is 58936833.

33863985 is a `hidden beast` number, since 3 + 3 + 8 + 639 + 8 + 5 = 666.

It is not a de Polignac number, because 33863985 - 2⁴ = 33863969 is a prime.

It is a super-2 number, since 2×33863985² = 2293538960160450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 33863985.

It is not an unprimeable number, because it can be changed into a prime (33863989) 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, 18949 + ... + 20658.

It is an arithmetic number, because the mean of its divisors is an integer number (2574520).

Almost surely, 2^33863985 is an apocalyptic number.

It is an amenable number.

33863985 is a deficient number, since it is larger than the sum of its proper divisors (27924495).

33863985 is a wasteful number, since it uses less digits than its factorization.

33863985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39637 (or 39634 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 33863985 is about 5819.2770169498. The cubic root of 33863985 is about 323.5286069045.

It can be divided in two parts, 338639 and 85, that added together give a square (338724 = 582²).

The spelling of 33863985 in words is "thirty-three million, eight hundred sixty-three thousand, nine hundred eighty-five".