33396972 has 48 divisors (see below), whose sum is σ = 89682432. Its totient is φ = 9475200.

The previous prime is 33396967. The next prime is 33396973. The reversal of 33396972 is 27969333.

It is a super-2 number, since 2×33396972² = 2230715477537568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (33396973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11368 + ... + 14000.

It is an arithmetic number, because the mean of its divisors is an integer number (1868384).

Almost surely, 2^33396972 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 33396972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44841216).

33396972 is an abundant number, since it is smaller than the sum of its proper divisors (56285460).

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

33396972 is a wasteful number, since it uses less digits than its factorization.

33396972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2796 counting only the distinct ones).

The product of its digits is 183708, while the sum is 42.

The square root of 33396972 is about 5779.0113341297. The cubic root of 33396972 is about 322.0344728598.

The spelling of 33396972 in words is "thirty-three million, three hundred ninety-six thousand, nine hundred seventy-two".