33897873 has 16 divisors (see below), whose sum is σ = 46022400. Its totient is φ = 22189440.

The previous prime is 33897863. The next prime is 33897901. The reversal of 33897873 is 37879833.

It is not a de Polignac number, because 33897873 - 2⁵ = 33897841 is a prime.

It is a super-2 number, since 2×33897873² = 2298131587848258, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (33897833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66343 + ... + 66851.

It is an arithmetic number, because the mean of its divisors is an integer number (2876400).

Almost surely, 2^33897873 is an apocalyptic number.

It is an amenable number.

33897873 is a deficient number, since it is larger than the sum of its proper divisors (12124527).

33897873 is a wasteful number, since it uses less digits than its factorization.

33897873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872.

The product of its digits is 762048, while the sum is 48.

The square root of 33897873 is about 5822.1879907815. The cubic root of 33897873 is about 323.6364902727.

The spelling of 33897873 in words is "thirty-three million, eight hundred ninety-seven thousand, eight hundred seventy-three".