33253948 has 72 divisors (see below), whose sum is σ = 75433344. Its totient is φ = 12700800.

The previous prime is 33253939. The next prime is 33253963. The reversal of 33253948 is 84935233.

It is a super-2 number, since 2×33253948² = 2211650115173408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78778 + ... + 79198.

Almost surely, 2^33253948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33253948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37716672).

33253948 is an abundant number, since it is smaller than the sum of its proper divisors (42179396).

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

33253948 is a wasteful number, since it uses less digits than its factorization.

33253948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 474 counting only the distinct ones).

The product of its digits is 77760, while the sum is 37.

The square root of 33253948 is about 5766.6236221900. The cubic root of 33253948 is about 321.5741061262.

The spelling of 33253948 in words is "thirty-three million, two hundred fifty-three thousand, nine hundred forty-eight".