82274600 has 48 divisors (see below), whose sum is σ = 193229820. Its totient is φ = 32576000.

The previous prime is 82274567. The next prime is 82274627. The reversal of 82274600 is 647228.

It can be written as a sum of positive squares in 6 ways, for example, as 35022724 + 47251876 = 5918^2 + 6874^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18164 + ... + 22236.

Almost surely, 2^82274600 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 82274600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96614910).

82274600 is an abundant number, since it is smaller than the sum of its proper divisors (110955220).

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

82274600 is a wasteful number, since it uses less digits than its factorization.

82274600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190 (or 4181 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 82274600 is about 9070.5347141169. The cubic root of 82274600 is about 434.9325654044.

The spelling of 82274600 in words is "eighty-two million, two hundred seventy-four thousand, six hundred".