37313 has 2 divisors, whose sum is σ = 37314. Its totient is φ = 37312.

The previous prime is 37309. The next prime is 37321. The reversal of 37313 is 31373.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37249 + 64 = 193^2 + 8^2 .

It is a cyclic number.

It is not a de Polignac number, because 37313 - 2² = 37309 is a prime.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 37291 and 37300.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37313.

It is not a weakly prime, because it can be changed into another prime (37363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18656 + 18657.

It is an arithmetic number, because the mean of its divisors is an integer number (18657).

2³⁷³¹³ is an apocalyptic number.

It is an amenable number.

37313 is a deficient number, since it is larger than the sum of its proper divisors (1).

37313 is an equidigital number, since it uses as much as digits as its factorization.

37313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 189, while the sum is 17.

The square root of 37313 is about 193.1657319506. The cubic root of 37313 is about 33.4159174492.

Adding to 37313 its reverse (31373), we get a palindrome (68686).

The spelling of 37313 in words is "thirty-seven thousand, three hundred thirteen".