33972858 has 40 divisors (see below), whose sum is σ = 76526208. Its totient is φ = 11311164.

The previous prime is 33972853. The next prime is 33972859. The reversal of 33972858 is 85827933.

It is not an unprimeable number, because it can be changed into a prime (33972853) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 38935 + ... + 39797.

Almost surely, 2^33972858 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33972858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38263104).

33972858 is an abundant number, since it is smaller than the sum of its proper divisors (42553350).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33972858 is an frugal number, since it uses more digits than its factorization.

33972858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 868 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 33972858 is about 5828.6240228720. The cubic root of 33972858 is about 323.8749517437.

The spelling of 33972858 in words is "thirty-three million, nine hundred seventy-two thousand, eight hundred fifty-eight".