33921828 has 42 divisors (see below), whose sum is σ = 89011734. Its totient is φ = 11306304.

The previous prime is 33921799. The next prime is 33921829. The reversal of 33921828 is 82812933.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 30935844 + 2985984 = 5562^2 + 1728^2 .

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 33921792 and 33921801.

It is not an unprimeable number, because it can be changed into a prime (33921829) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2901 + ... + 8732.

It is an arithmetic number, because the mean of its divisors is an integer number (2119327).

Almost surely, 2^33921828 is an apocalyptic number.

It is an amenable number.

33921828 is an abundant number, since it is smaller than the sum of its proper divisors (55089906).

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

33921828 is a wasteful number, since it uses less digits than its factorization.

33921828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11655 (or 11638 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 33921828 is about 5824.2448437544. The cubic root of 33921828 is about 323.7127082959.

The spelling of 33921828 in words is "thirty-three million, nine hundred twenty-one thousand, eight hundred twenty-eight".