33973056 has 126 divisors (see below), whose sum is σ = 105746550. Its totient is φ = 10423296.

The previous prime is 33973033. The next prime is 33973091. The reversal of 33973056 is 65037933.

It can be written as a sum of positive squares in 3 ways, for example, as 518400 + 33454656 = 720^2 + 5784^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 33973056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 97170 + ... + 97518.

Almost surely, 2^33973056 is an apocalyptic number.

33973056 is a gapful number since it is divisible by the number (36) 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 33973056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52873275).

33973056 is an abundant number, since it is smaller than the sum of its proper divisors (71773494).

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

33973056 is a wasteful number, since it uses less digits than its factorization.

33973056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 36.

The square root of 33973056 is about 5828.6410079881. The cubic root of 33973056 is about 323.8755809432.

The spelling of 33973056 in words is "thirty-three million, nine hundred seventy-three thousand, fifty-six".