321825 has 24 divisors (see below), whose sum is σ = 609088. Its totient is φ = 146880.

The previous prime is 321823. The next prime is 321829. The reversal of 321825 is 528123.

It is not a de Polignac number, because 321825 - 2¹ = 321823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a d-powerful number, because it can be written as 3¹⁰ + 2 + 8⁶ + 1 + 2² + 5⁴ .

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 321825.

It is not an unprimeable number, because it can be changed into a prime (321821) 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, 219 + ... + 831.

2³²¹⁸²⁵ is an apocalyptic number.

321825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

321825 is a deficient number, since it is larger than the sum of its proper divisors (287263).

321825 is a wasteful number, since it uses less digits than its factorization.

321825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 628 counting only the distinct ones).

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

The square root of 321825 is about 567.2962189192. The cubic root of 321825 is about 68.5288208769.

Adding to 321825 its reverse (528123), we get a palindrome (849948).

The spelling of 321825 in words is "three hundred twenty-one thousand, eight hundred twenty-five".