827300 has 18 divisors (see below), whose sum is σ = 1795458. Its totient is φ = 330880.

The previous prime is 827293. The next prime is 827303. The reversal of 827300 is 3728.

It can be written as a sum of positive squares in 3 ways, for example, as 118336 + 708964 = 344^2 + 842^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (827303) by changing a digit.

827300 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4037 + ... + 4236.

2⁸²⁷³⁰⁰ is an apocalyptic number.

It is an amenable number.

827300 is an abundant number, since it is smaller than the sum of its proper divisors (968158).

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

827300 is a wasteful number, since it uses less digits than its factorization.

827300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8287 (or 8280 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 827300 is about 909.5603333479. The cubic root of 827300 is about 93.8759492352.

The spelling of 827300 in words is "eight hundred twenty-seven thousand, three hundred".