33233013 has 18 divisors (see below), whose sum is σ = 52765622. Its totient is φ = 20140560.

The previous prime is 33232987. The next prime is 33233017. The reversal of 33233013 is 31033233.

33233013 is a `hidden beast` number, since 332 + 330 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17288964 + 15944049 = 4158^2 + 3993^2 .

It is not a de Polignac number, because 33233013 - 2⁵ = 33232981 is a prime.

It is a super-2 number, since 2×33233013² = 2208866306116338, 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 (33233017) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14170 + ... + 16347.

Almost surely, 2^33233013 is an apocalyptic number.

33233013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33233013 is a deficient number, since it is larger than the sum of its proper divisors (19532609).

33233013 is a wasteful number, since it uses less digits than its factorization.

33233013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30545 (or 30531 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 33233013 is about 5764.8081494530. The cubic root of 33233013 is about 321.5066097080.

Adding to 33233013 its reverse (31033233), we get a palindrome (64266246).

It can be divided in two parts, 3323 and 3013, that added together give a palindrome (6336).

The spelling of 33233013 in words is "thirty-three million, two hundred thirty-three thousand, thirteen".