33252973 has 16 divisors (see below), whose sum is σ = 37059120. Its totient is φ = 29638656.

The previous prime is 33252959. The next prime is 33252977. The reversal of 33252973 is 37925233.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 328329 + 32924644 = 573^2 + 5738^2 .

It is a cyclic number.

It is not a de Polignac number, because 33252973 - 2¹⁷ = 33121901 is a prime.

It is a super-2 number, since 2×33252973² = 2211520426677458, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33252977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123483 + ... + 123751.

It is an arithmetic number, because the mean of its divisors is an integer number (2316195).

Almost surely, 2^33252973 is an apocalyptic number.

It is an amenable number.

33252973 is a deficient number, since it is larger than the sum of its proper divisors (3806147).

33252973 is a wasteful number, since it uses less digits than its factorization.

33252973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576.

The product of its digits is 34020, while the sum is 34.

The square root of 33252973 is about 5766.5390833671. The cubic root of 33252973 is about 321.5709632631.

It can be divided in two parts, 33252 and 973, that added together give a square (34225 = 185²).

The spelling of 33252973 in words is "thirty-three million, two hundred fifty-two thousand, nine hundred seventy-three".