82671204 has 192 divisors, whose sum is σ = 269015040. Its totient is φ = 19077120.

The previous prime is 82671161. The next prime is 82671217. The reversal of 82671204 is 40217628.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 298314 + ... + 298590.

It is an arithmetic number, because the mean of its divisors is an integer number (1401120).

Almost surely, 2^82671204 is an apocalyptic number.

82671204 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82671204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134507520).

82671204 is an abundant number, since it is smaller than the sum of its proper divisors (186343836).

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

82671204 is a wasteful number, since it uses less digits than its factorization.

82671204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 82671204 is about 9092.3706479663. The cubic root of 82671204 is about 435.6303083418.

The spelling of 82671204 in words is "eighty-two million, six hundred seventy-one thousand, two hundred four".