83882052 has 36 divisors (see below), whose sum is σ = 213573360. Its totient is φ = 27757872.

The previous prime is 83882039. The next prime is 83882053. The reversal of 83882052 is 25028838.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 83881998 and 83882016.

It is not an unprimeable number, because it can be changed into a prime (83882053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3378 + ... + 13385.

Almost surely, 2^83882052 is an apocalyptic number.

It is an amenable number.

83882052 is an abundant number, since it is smaller than the sum of its proper divisors (129691308).

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

83882052 is a wasteful number, since it uses less digits than its factorization.

83882052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16912 (or 16907 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 83882052 is about 9158.7145386239. The cubic root of 83882052 is about 437.7468356218.

It can be divided in two parts, 8388 and 2052, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 83882052 in words is "eighty-three million, eight hundred eighty-two thousand, fifty-two".