321265 has 16 divisors (see below), whose sum is σ = 450432. Its totient is φ = 215424.

The previous prime is 321247. The next prime is 321289. The reversal of 321265 is 562123.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-321265 is a prime.

It is a super-2 number, since 2×321265² = 206422400450, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3⁵ + 2¹³ + 2¹⁵ + 1 + 6⁷ + 5³ .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2277 + ... + 2413.

It is an arithmetic number, because the mean of its divisors is an integer number (28152).

2³²¹²⁶⁵ is an apocalyptic number.

321265 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

321265 is a deficient number, since it is larger than the sum of its proper divisors (129167).

321265 is a wasteful number, since it uses less digits than its factorization.

321265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216.

The product of its digits is 360, while the sum is 19.

The square root of 321265 is about 566.8024347160. The cubic root of 321265 is about 68.4890493444.

Adding to 321265 its reverse (562123), we get a palindrome (883388).

It can be divided in two parts, 32126 and 5, that added together give a triangular number (32131 = T₂₅₃).

The spelling of 321265 in words is "three hundred twenty-one thousand, two hundred sixty-five".