253321 has 2 divisors, whose sum is σ = 253322. Its totient is φ = 253320.

The previous prime is 253307. The next prime is 253343. The reversal of 253321 is 123352.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 215296 + 38025 = 464^2 + 195^2 .

It is a cyclic number.

It is not a de Polignac number, because 253321 - 2¹³ = 245129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 253295 and 253304.

It is not a weakly prime, because it can be changed into another prime (253361) by changing a digit.

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 as a sum of consecutive naturals, namely, 126660 + 126661.

It is an arithmetic number, because the mean of its divisors is an integer number (126661).

2²⁵³³²¹ is an apocalyptic number.

It is an amenable number.

253321 is a deficient number, since it is larger than the sum of its proper divisors (1).

253321 is an equidigital number, since it uses as much as digits as its factorization.

253321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 180, while the sum is 16.

The square root of 253321 is about 503.3100436113. The cubic root of 253321 is about 63.2737728756.

Adding to 253321 its reverse (123352), we get a palindrome (376673).

The spelling of 253321 in words is "two hundred fifty-three thousand, three hundred twenty-one".