33506772 has 24 divisors (see below), whose sum is σ = 84196896. Its totient is φ = 10309728.

The previous prime is 33506741. The next prime is 33506773. The reversal of 33506772 is 27760533.

It is a super-2 number, since 2×33506772² = 2245407539719968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33506773) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107238 + ... + 107549.

It is an arithmetic number, because the mean of its divisors is an integer number (3508204).

Almost surely, 2^33506772 is an apocalyptic number.

It is an amenable number.

33506772 is an abundant number, since it is smaller than the sum of its proper divisors (50690124).

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

33506772 is a wasteful number, since it uses less digits than its factorization.

33506772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214807 (or 214805 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 33.

The square root of 33506772 is about 5788.5034335310. The cubic root of 33506772 is about 322.3870068672.

The spelling of 33506772 in words is "thirty-three million, five hundred six thousand, seven hundred seventy-two".