33054000 has 160 divisors (see below), whose sum is σ = 121944576. Its totient is φ = 7545600.

The previous prime is 33053989. The next prime is 33054017. The reversal of 33054000 is 45033.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 41607 + ... + 42393.

Almost surely, 2^33054000 is an apocalyptic number.

33054000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60972288).

33054000 is an abundant number, since it is smaller than the sum of its proper divisors (88890576).

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

33054000 is a wasteful number, since it uses less digits than its factorization.

33054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 33054000 is about 5749.2608220536. The cubic root of 33054000 is about 320.9282940735.

Adding to 33054000 its reverse (45033), we get a palindrome (33099033).

The spelling of 33054000 in words is "thirty-three million, fifty-four thousand".