83219752 has 64 divisors (see below), whose sum is σ = 198288000. Its totient is φ = 31799040.

The previous prime is 83219737. The next prime is 83219761. The reversal of 83219752 is 25791238.

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, 31374 + ... + 33922.

It is an arithmetic number, because the mean of its divisors is an integer number (3098250).

Almost surely, 2^83219752 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 83219752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99144000).

83219752 is an abundant number, since it is smaller than the sum of its proper divisors (115068248).

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

83219752 is a wasteful number, since it uses less digits than its factorization.

83219752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 2622 counting only the distinct ones).

The product of its digits is 30240, while the sum is 37.

The square root of 83219752 is about 9122.4860646646. The cubic root of 83219752 is about 436.5916972734.

The spelling of 83219752 in words is "eighty-three million, two hundred nineteen thousand, seven hundred fifty-two".