821325 has 24 divisors (see below), whose sum is σ = 1392768. Its totient is φ = 426880.

The previous prime is 821311. The next prime is 821329. The reversal of 821325 is 523128.

It is not a de Polignac number, because 821325 - 2⁸ = 821069 is a prime.

It is a super-3 number, since 3×821325³ = 1662135333491109375, which contains 333 as substring.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3409 + ... + 3641.

It is an arithmetic number, because the mean of its divisors is an integer number (58032).

2⁸²¹³²⁵ is an apocalyptic number.

It is an amenable number.

821325 is a deficient number, since it is larger than the sum of its proper divisors (571443).

821325 is a wasteful number, since it uses less digits than its factorization.

821325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 288 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 821325 is about 906.2698273693. The cubic root of 821325 is about 93.6494032061.

The spelling of 821325 in words is "eight hundred twenty-one thousand, three hundred twenty-five".