37321 has 2 divisors, whose sum is σ = 37322. Its totient is φ = 37320.

The previous prime is 37313. The next prime is 37337. The reversal of 37321 is 12373.

It is an a-pointer prime, because the next prime (37337) can be obtained adding 37321 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35721 + 1600 = 189^2 + 40^2 .

It is an emirp because it is prime and its reverse (12373) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37321 - 2³ = 37313 is a prime.

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 37295 and 37304.

It is not a weakly prime, because it can be changed into another prime (37361) 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, 18660 + 18661.

It is an arithmetic number, because the mean of its divisors is an integer number (18661).

2³⁷³²¹ is an apocalyptic number.

It is an amenable number.

37321 is a deficient number, since it is larger than the sum of its proper divisors (1).

37321 is an equidigital number, since it uses as much as digits as its factorization.

37321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126, while the sum is 16.

The square root of 37321 is about 193.1864384474. The cubic root of 37321 is about 33.4183054304.

Adding to 37321 its reverse (12373), we get a palindrome (49694).

The spelling of 37321 in words is "thirty-seven thousand, three hundred twenty-one".