83552820 has 48 divisors (see below), whose sum is σ = 251946240. Its totient is φ = 20566656.

The previous prime is 83552803. The next prime is 83552839. The reversal of 83552820 is 2825538.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52780 + ... + 54339.

It is an arithmetic number, because the mean of its divisors is an integer number (5248880).

Almost surely, 2^83552820 is an apocalyptic number.

It is an amenable number.

83552820 is an abundant number, since it is smaller than the sum of its proper divisors (168393420).

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

83552820 is a wasteful number, since it uses less digits than its factorization.

83552820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107144 (or 107142 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 83552820 is about 9140.7231661395. The cubic root of 83552820 is about 437.1733747148.

It can be divided in two parts, 8355 and 2820, that added together give a triangular number (11175 = T₁₄₉).

The spelling of 83552820 in words is "eighty-three million, five hundred fifty-two thousand, eight hundred twenty".