33891972 has 72 divisors (see below), whose sum is σ = 87329760. Its totient is φ = 10200960.

The previous prime is 33891967. The next prime is 33891973. The reversal of 33891972 is 27919833.

It is a super-2 number, since 2×33891972² = 2297331532097568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33891973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120472 + ... + 120752.

Almost surely, 2^33891972 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 33891972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43664880).

33891972 is an abundant number, since it is smaller than the sum of its proper divisors (53437788).

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

33891972 is a wasteful number, since it uses less digits than its factorization.

33891972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 328 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 33891972 is about 5821.6812004781. The cubic root of 33891972 is about 323.6177094507.

The spelling of 33891972 in words is "thirty-three million, eight hundred ninety-one thousand, nine hundred seventy-two".