33328964 has 18 divisors (see below), whose sum is σ = 61559694. Its totient is φ = 15786720.

The previous prime is 33328961. The next prime is 33328973. The reversal of 33328964 is 46982333.

It can be written as a sum of positive squares in only one way, i.e., 28302400 + 5026564 = 5320^2 + 2242^2 .

It is a super-2 number, since 2×33328964² = 2221639682626592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (33328961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10097 + ... + 12984.

It is an arithmetic number, because the mean of its divisors is an integer number (3419983).

Almost surely, 2^33328964 is an apocalyptic number.

It is an amenable number.

33328964 is a deficient number, since it is larger than the sum of its proper divisors (28230730).

33328964 is a wasteful number, since it uses less digits than its factorization.

33328964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23123 (or 23102 counting only the distinct ones).

The product of its digits is 93312, while the sum is 38.

The square root of 33328964 is about 5773.1242841290. The cubic root of 33328964 is about 321.8157324376.

The spelling of 33328964 in words is "thirty-three million, three hundred twenty-eight thousand, nine hundred sixty-four".