137321 has 2 divisors, whose sum is σ = 137322. Its totient is φ = 137320.

The previous prime is 137303. The next prime is 137339. The reversal of 137321 is 123731.

It is a balanced prime because it is at equal distance from previous prime (137303) and next prime (137339).

It can be written as a sum of positive squares in only one way, i.e., 133225 + 4096 = 365^2 + 64^2 .

It is an emirp because it is prime and its reverse (123731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137321 - 2¹⁴ = 120937 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137321.

It is not a weakly prime, because it can be changed into another prime (137341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68660 + 68661.

It is an arithmetic number, because the mean of its divisors is an integer number (68661).

2¹³⁷³²¹ is an apocalyptic number.

It is an amenable number.

137321 is a deficient number, since it is larger than the sum of its proper divisors (1).

137321 is an equidigital number, since it uses as much as digits as its factorization.

137321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126, while the sum is 17.

The square root of 137321 is about 370.5684822000. The cubic root of 137321 is about 51.5915986963.

The spelling of 137321 in words is "one hundred thirty-seven thousand, three hundred twenty-one".