33536972 has 36 divisors (see below), whose sum is σ = 68602464. Its totient is φ = 14303520.

The previous prime is 33536941. The next prime is 33536983. The reversal of 33536972 is 27963533.

It is a super-2 number, since 2×33536972² = 2249456981857568, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77597 + ... + 78027.

It is an arithmetic number, because the mean of its divisors is an integer number (1905624).

Almost surely, 2^33536972 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 33536972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34301232).

33536972 is an abundant number, since it is smaller than the sum of its proper divisors (35065492).

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

33536972 is a wasteful number, since it uses less digits than its factorization.

33536972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 837 counting only the distinct ones).

The product of its digits is 102060, while the sum is 38.

The square root of 33536972 is about 5791.1114649953. Note that the first 3 decimals coincide. The cubic root of 33536972 is about 322.4838346964.

The spelling of 33536972 in words is "thirty-three million, five hundred thirty-six thousand, nine hundred seventy-two".