33002148 has 48 divisors (see below), whose sum is σ = 81164160. Its totient is φ = 10416384.

The previous prime is 33002147. The next prime is 33002153. The reversal of 33002148 is 84120033.

It is a happy number.

It is a super-2 number, since 2×33002148² = 2178283545227808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33002143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29536 + ... + 30632.

It is an arithmetic number, because the mean of its divisors is an integer number (1690920).

Almost surely, 2^33002148 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 33002148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40582080).

33002148 is an abundant number, since it is smaller than the sum of its proper divisors (48162012).

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

33002148 is a wasteful number, since it uses less digits than its factorization.

33002148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 33002148 is about 5744.7496028983. The cubic root of 33002148 is about 320.7603922261.

The spelling of 33002148 in words is "thirty-three million, two thousand, one hundred forty-eight".