827325 has 18 divisors (see below), whose sum is σ = 1482234. Its totient is φ = 441120.

The previous prime is 827311. The next prime is 827327. The reversal of 827325 is 523728.

It can be written as a sum of positive squares in 3 ways, for example, as 131769 + 695556 = 363^2 + 834^2 .

It is not a de Polignac number, because 827325 - 2⁵ = 827293 is a prime.

It is a d-powerful number, because it can be written as 8 + 2⁷ + 3² + 7⁷ + 2⁹ + 5⁵ .

It is a Curzon number.

827325 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827327) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1614 + ... + 2063.

2⁸²⁷³²⁵ is an apocalyptic number.

It is an amenable number.

827325 is a deficient number, since it is larger than the sum of its proper divisors (654909).

827325 is a wasteful number, since it uses less digits than its factorization.

827325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3693 (or 3685 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 827325 is about 909.5740761477. The cubic root of 827325 is about 93.8768948313.

The spelling of 827325 in words is "eight hundred twenty-seven thousand, three hundred twenty-five".