82834444 has 48 divisors (see below), whose sum is σ = 182198016. Its totient is φ = 32011200.

The previous prime is 82834439. The next prime is 82834483. The reversal of 82834444 is 44443828.

It is a super-2 number, since 2×82834444² = 13723090225578272, which contains 22 as substring.

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, 39322 + ... + 41374.

It is an arithmetic number, because the mean of its divisors is an integer number (3795792).

Almost surely, 2^82834444 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 82834444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91099008).

82834444 is an abundant number, since it is smaller than the sum of its proper divisors (99363572).

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

82834444 is a wasteful number, since it uses less digits than its factorization.

82834444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2204 counting only the distinct ones).

The product of its digits is 98304, while the sum is 37.

The square root of 82834444 is about 9101.3429778248. The cubic root of 82834444 is about 435.9168472010.

The spelling of 82834444 in words is "eighty-two million, eight hundred thirty-four thousand, four hundred forty-four".