83009952 has 72 divisors (see below), whose sum is σ = 241585344. Its totient is φ = 27022464.

The previous prime is 83009939. The next prime is 83009957. The reversal of 83009952 is 25990038.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83009957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9033 + ... + 15735.

It is an arithmetic number, because the mean of its divisors is an integer number (3355352).

Almost surely, 2^83009952 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 83009952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120792672).

83009952 is an abundant number, since it is smaller than the sum of its proper divisors (158575392).

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

83009952 is a wasteful number, since it uses less digits than its factorization.

83009952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6762 (or 6751 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 83009952 is about 9110.9797497305. The cubic root of 83009952 is about 436.2245007167.

The spelling of 83009952 in words is "eighty-three million, nine thousand, nine hundred fifty-two".