83564052 has 144 divisors (see below), whose sum is σ = 243996480. Its totient is φ = 22049280.

The previous prime is 83564023. The next prime is 83564077. The reversal of 83564052 is 25046538.

It is a Smith number, since the sum of its digits (33) 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 (33).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 358528 + ... + 358760.

It is an arithmetic number, because the mean of its divisors is an integer number (1694420).

Almost surely, 2^83564052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83564052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121998240).

83564052 is an abundant number, since it is smaller than the sum of its proper divisors (160432428).

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

83564052 is a wasteful number, since it uses less digits than its factorization.

83564052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 83564052 is about 9141.3375388944. The cubic root of 83564052 is about 437.1929635662.

The spelling of 83564052 in words is "eighty-three million, five hundred sixty-four thousand, fifty-two".