33105972 has 48 divisors (see below), whose sum is σ = 79978752. Its totient is φ = 10650240.

The previous prime is 33105971. The next prime is 33105991. The reversal of 33105972 is 27950133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33105971) 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, 76597 + ... + 77027.

It is an arithmetic number, because the mean of its divisors is an integer number (1666224).

Almost surely, 2^33105972 is an apocalyptic number.

It is an amenable number.

33105972 is an abundant number, since it is smaller than the sum of its proper divisors (46872780).

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

33105972 is a wasteful number, since it uses less digits than its factorization.

33105972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 33105972 is about 5753.7789321454. The cubic root of 33105972 is about 321.0964083825.

The spelling of 33105972 in words is "thirty-three million, one hundred five thousand, nine hundred seventy-two".