82834752 has 224 divisors, whose sum is σ = 294948864. Its totient is φ = 19814400.

The previous prime is 82834733. The next prime is 82834781. The reversal of 82834752 is 25743828.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×82834752² = 13723192277803008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 82834752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191977 + ... + 192407.

It is an arithmetic number, because the mean of its divisors is an integer number (1316736).

Almost surely, 2^82834752 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 82834752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147474432).

82834752 is an abundant number, since it is smaller than the sum of its proper divisors (212114112).

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

82834752 is a wasteful number, since it uses less digits than its factorization.

82834752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 467 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 82834752 is about 9101.3598983888. The cubic root of 82834752 is about 435.9173874844.

The spelling of 82834752 in words is "eighty-two million, eight hundred thirty-four thousand, seven hundred fifty-two".