33488973 has 12 divisors (see below), whose sum is σ = 55283488. Its totient is φ = 19136520.

The previous prime is 33488953. The next prime is 33488977. The reversal of 33488973 is 37988433.

It is a happy number.

It is not a de Polignac number, because 33488973 - 2⁸ = 33488717 is a prime.

It is a super-2 number, since 2×33488973² = 2243022625189458, 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 (33488977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265723 + ... + 265848.

Almost surely, 2^33488973 is an apocalyptic number.

It is an amenable number.

33488973 is a deficient number, since it is larger than the sum of its proper divisors (21794515).

33488973 is a wasteful number, since it uses less digits than its factorization.

33488973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531584 (or 531581 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 33488973 is about 5786.9657852799. The cubic root of 33488973 is about 322.3299121135.

It can be divided in two parts, 3348897 and 3, that added together give a square (3348900 = 1830²).

The spelling of 33488973 in words is "thirty-three million, four hundred eighty-eight thousand, nine hundred seventy-three".