653321 has 2 divisors, whose sum is σ = 653322. Its totient is φ = 653320.

The previous prime is 653311. The next prime is 653339. The reversal of 653321 is 123356.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 366025 + 287296 = 605^2 + 536^2 .

It is a cyclic number.

It is not a de Polignac number, because 653321 - 2¹⁸ = 391177 is a prime.

It is a Chen prime.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 653293 and 653302.

It is not a weakly prime, because it can be changed into another prime (653311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 326660 + 326661.

It is an arithmetic number, because the mean of its divisors is an integer number (326661).

2⁶⁵³³²¹ is an apocalyptic number.

It is an amenable number.

653321 is a deficient number, since it is larger than the sum of its proper divisors (1).

653321 is an equidigital number, since it uses as much as digits as its factorization.

653321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 540, while the sum is 20.

The square root of 653321 is about 808.2827475581. The cubic root of 653321 is about 86.7711871777.

Adding to 653321 its reverse (123356), we get a palindrome (776677).

The spelling of 653321 in words is "six hundred fifty-three thousand, three hundred twenty-one".