33998013 has 18 divisors (see below), whose sum is σ = 57126654. Its totient is φ = 19427184.

The previous prime is 33998009. The next prime is 33998033. The reversal of 33998013 is 31089933.

It can be written as a sum of positive squares in only one way, i.e., 24980004 + 9018009 = 4998^2 + 3003^2 .

It is not a de Polignac number, because 33998013 - 2² = 33998009 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33998033) 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, 38106 + ... + 38987.

It is an arithmetic number, because the mean of its divisors is an integer number (3173703).

Almost surely, 2^33998013 is an apocalyptic number.

It is an amenable number.

33998013 is a deficient number, since it is larger than the sum of its proper divisors (23128641).

33998013 is a wasteful number, since it uses less digits than its factorization.

33998013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77113 (or 77103 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 33998013 is about 5830.7815085115. The cubic root of 33998013 is about 323.9548691140.

The spelling of 33998013 in words is "thirty-three million, nine hundred ninety-eight thousand, thirteen".