33133000 has 64 divisors (see below), whose sum is σ = 82134000. Its totient is φ = 12467200.

The previous prime is 33132977. The next prime is 33133027. The reversal of 33133000 is 33133.

It can be written as a sum of positive squares in 8 ways, for example, as 7387524 + 25745476 = 2718^2 + 5074^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16026 + ... + 17974.

Almost surely, 2^33133000 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 33133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41067000).

33133000 is an abundant number, since it is smaller than the sum of its proper divisors (49001000).

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

33133000 is a wasteful number, since it uses less digits than its factorization.

33133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 13.

The square root of 33133000 is about 5756.1271702422. The cubic root of 33133000 is about 321.1837665691.

Adding to 33133000 its reverse (33133), we get a palindrome (33166133).

33133000 divided by its reverse (33133) gives a cube (1000 = 10³).

The spelling of 33133000 in words is "thirty-three million, one hundred thirty-three thousand".