33325164 has 72 divisors (see below), whose sum is σ = 89893440. Its totient is φ = 10379232.

The previous prime is 33325153. The next prime is 33325207. The reversal of 33325164 is 46152333.

It is a happy number.

It is a super-2 number, since 2×33325164² = 2221133111253792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56479 + ... + 57065.

It is an arithmetic number, because the mean of its divisors is an integer number (1248520).

Almost surely, 2^33325164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33325164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44946720).

33325164 is an abundant number, since it is smaller than the sum of its proper divisors (56568276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33325164 is a wasteful number, since it uses less digits than its factorization.

33325164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 694 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 33325164 is about 5772.7951635235. The cubic root of 33325164 is about 321.8035013717.

Adding to 33325164 its reverse (46152333), we get a palindrome (79477497).

It can be divided in two parts, 33325 and 164, that added together give a square (33489 = 183²).

The spelling of 33325164 in words is "thirty-three million, three hundred twenty-five thousand, one hundred sixty-four".