33238985 has 16 divisors (see below), whose sum is σ = 43137360. Its totient is φ = 24441600.

The previous prime is 33238973. The next prime is 33238991. The reversal of 33238985 is 58983233.

It can be written as a sum of positive squares in 8 ways, for example, as 16289296 + 16949689 = 4036^2 + 4117^2 .

It is not a de Polignac number, because 33238985 - 2⁴ = 33238969 is a prime.

It is a super-2 number, since 2×33238985² = 2209660247660450, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16535 + ... + 18435.

It is an arithmetic number, because the mean of its divisors is an integer number (2696085).

Almost surely, 2^33238985 is an apocalyptic number.

It is an amenable number.

33238985 is a deficient number, since it is larger than the sum of its proper divisors (9898375).

33238985 is a wasteful number, since it uses less digits than its factorization.

33238985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188.

The product of its digits is 155520, while the sum is 41.

The square root of 33238985 is about 5765.3260965881. The cubic root of 33238985 is about 321.5258668893.

The spelling of 33238985 in words is "thirty-three million, two hundred thirty-eight thousand, nine hundred eighty-five".