321315 has 16 divisors (see below), whose sum is σ = 531456. Its totient is φ = 165600.

The previous prime is 321313. The next prime is 321319. The reversal of 321315 is 513123.

It is a happy number.

It is not a de Polignac number, because 321315 - 2¹ = 321313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 321294 and 321303.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 321315.

It is not an unprimeable number, because it can be changed into a prime (321311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120 + ... + 810.

It is an arithmetic number, because the mean of its divisors is an integer number (33216).

2³²¹³¹⁵ is an apocalyptic number.

321315 is a deficient number, since it is larger than the sum of its proper divisors (210141).

321315 is a wasteful number, since it uses less digits than its factorization.

321315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730.

The product of its digits is 90, while the sum is 15.

The square root of 321315 is about 566.8465400794. The cubic root of 321315 is about 68.4926022522.

Adding to 321315 its reverse (513123), we get a palindrome (834438).

It can be divided in two parts, 321 and 315, that added together give a palindrome (636).

The spelling of 321315 in words is "three hundred twenty-one thousand, three hundred fifteen".