33971985 has 24 divisors (see below), whose sum is σ = 60324264. Its totient is φ = 17675520.

The previous prime is 33971953. The next prime is 33972007. The reversal of 33971985 is 58917933.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 239121 + 33732864 = 489^2 + 5808^2 .

It is not a de Polignac number, because 33971985 - 2⁵ = 33971953 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 33971985.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7362 + ... + 11051.

It is an arithmetic number, because the mean of its divisors is an integer number (2513511).

Almost surely, 2^33971985 is an apocalyptic number.

It is an amenable number.

33971985 is a deficient number, since it is larger than the sum of its proper divisors (26352279).

33971985 is a wasteful number, since it uses less digits than its factorization.

33971985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18465 (or 18462 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 33971985 is about 5828.5491333607. The cubic root of 33971985 is about 323.8721775167.

The spelling of 33971985 in words is "thirty-three million, nine hundred seventy-one thousand, nine hundred eighty-five".