33864985 has 16 divisors (see below), whose sum is σ = 50666112. Its totient is φ = 21110400.

The previous prime is 33864979. The next prime is 33864991. The reversal of 33864985 is 58946833.

It is an interprime number because it is at equal distance from previous prime (33864979) and next prime (33864991).

It is not a de Polignac number, because 33864985 - 2²⁵ = 310553 is a prime.

It is a super-2 number, since 2×33864985² = 2293674418100450, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 43596 + ... + 44365.

It is an arithmetic number, because the mean of its divisors is an integer number (3166632).

Almost surely, 2^33864985 is an apocalyptic number.

33864985 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33864985 is a deficient number, since it is larger than the sum of its proper divisors (16801127).

33864985 is a wasteful number, since it uses less digits than its factorization.

33864985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87984.

The product of its digits is 622080, while the sum is 46.

The square root of 33864985 is about 5819.3629376419. The cubic root of 33864985 is about 323.5317914620.

It can be divided in two parts, 3386498 and 5, that added together give a triangular number (3386503 = T₂₆₀₂).

The spelling of 33864985 in words is "thirty-three million, eight hundred sixty-four thousand, nine hundred eighty-five".