83254820 has 48 divisors (see below), whose sum is σ = 191697408. Its totient is φ = 30120960.

The previous prime is 83254819. The next prime is 83254849. The reversal of 83254820 is 2845238.

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, 48212 + ... + 49908.

It is an arithmetic number, because the mean of its divisors is an integer number (3993696).

Almost surely, 2^83254820 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 83254820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95848704).

83254820 is an abundant number, since it is smaller than the sum of its proper divisors (108442588).

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

83254820 is a wasteful number, since it uses less digits than its factorization.

83254820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 83254820 is about 9124.4079259972. The cubic root of 83254820 is about 436.6530138367.

The spelling of 83254820 in words is "eighty-three million, two hundred fifty-four thousand, eight hundred twenty".