82829304 has 160 divisors (see below), whose sum is σ = 251428320. Its totient is φ = 25380864.

The previous prime is 82829297. The next prime is 82829317. The reversal of 82829304 is 40392828.

It is a super-2 number, since 2×82829304² = 13721387202248832, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 804117 + ... + 804219.

It is an arithmetic number, because the mean of its divisors is an integer number (1571427).

Almost surely, 2^82829304 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 82829304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125714160).

82829304 is an abundant number, since it is smaller than the sum of its proper divisors (168599016).

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

82829304 is a wasteful number, since it uses less digits than its factorization.

82829304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 82829304 is about 9101.0605975348. The cubic root of 82829304 is about 435.9078305857.

The spelling of 82829304 in words is "eighty-two million, eight hundred twenty-nine thousand, three hundred four".