33973020 has 120 divisors (see below), whose sum is σ = 108510864. Its totient is φ = 8895744.

The previous prime is 33972997. The next prime is 33973033. The reversal of 33973020 is 2037933.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 108384 + ... + 108696.

Almost surely, 2^33973020 is an apocalyptic number.

33973020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33973020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54255432).

33973020 is an abundant number, since it is smaller than the sum of its proper divisors (74537844).

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

33973020 is a wasteful number, since it uses less digits than its factorization.

33973020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 33973020 is about 5828.6379197888. The cubic root of 33973020 is about 323.8754665434.

The spelling of 33973020 in words is "thirty-three million, nine hundred seventy-three thousand, twenty".