127321 has 2 divisors, whose sum is σ = 127322. Its totient is φ = 127320.

The previous prime is 127301. The next prime is 127331. The reversal of 127321 is 123721.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126025 + 1296 = 355^2 + 36^2 .

It is a cyclic number.

It is not a de Polignac number, because 127321 - 2⁵ = 127289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 127295 and 127304.

It is not a weakly prime, because it can be changed into another prime (127301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63660 + 63661.

It is an arithmetic number, because the mean of its divisors is an integer number (63661).

2¹²⁷³²¹ is an apocalyptic number.

It is an amenable number.

127321 is a deficient number, since it is larger than the sum of its proper divisors (1).

127321 is an equidigital number, since it uses as much as digits as its factorization.

127321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 84, while the sum is 16.

The square root of 127321 is about 356.8206832570. The cubic root of 127321 is about 50.3075707913.

Subtracting from 127321 its reverse (123721), we obtain a square (3600 = 60²).

The spelling of 127321 in words is "one hundred twenty-seven thousand, three hundred twenty-one", and thus it is an iban number.