33082820 has 24 divisors (see below), whose sum is σ = 70194264. Its totient is φ = 13095936.

The previous prime is 33082817. The next prime is 33082831. The reversal of 33082820 is 2828033.

It can be written as a sum of positive squares in 4 ways, for example, as 1700416 + 31382404 = 1304^2 + 5602^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 33082820.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6587 + ... + 10466.

It is an arithmetic number, because the mean of its divisors is an integer number (2924761).

Almost surely, 2^33082820 is an apocalyptic number.

It is an amenable number.

33082820 is an abundant number, since it is smaller than the sum of its proper divisors (37111444).

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

33082820 is a wasteful number, since it uses less digits than its factorization.

33082820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17159 (or 17157 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 33082820 is about 5751.7666851151. The cubic root of 33082820 is about 321.0215401416.

The spelling of 33082820 in words is "thirty-three million, eighty-two thousand, eight hundred twenty".