827305 has 8 divisors (see below), whose sum is σ = 1051272. Its totient is φ = 622848.

The previous prime is 827303. The next prime is 827311. The reversal of 827305 is 503728.

It can be written as a sum of positive squares in 4 ways, for example, as 326041 + 501264 = 571^2 + 708^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 827305 - 2¹ = 827303 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 827305.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4782 + ... + 4951.

It is an arithmetic number, because the mean of its divisors is an integer number (131409).

2⁸²⁷³⁰⁵ is an apocalyptic number.

827305 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

827305 is a deficient number, since it is larger than the sum of its proper divisors (223967).

827305 is a wasteful number, since it uses less digits than its factorization.

827305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9755.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 827305 is about 909.5630819245. The cubic root of 827305 is about 93.8761383559.

The spelling of 827305 in words is "eight hundred twenty-seven thousand, three hundred five".