37013 has 2 divisors, whose sum is σ = 37014. Its totient is φ = 37012.

The previous prime is 37003. The next prime is 37019. The reversal of 37013 is 31073.

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., 31684 + 5329 = 178^2 + 73^2 .

It is a cyclic number.

It is not a de Polignac number, because 37013 - 2⁴ = 36997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a plaindrome in base 11.

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 37013.

It is not a weakly prime, because it can be changed into another prime (37019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18506 + 18507.

It is an arithmetic number, because the mean of its divisors is an integer number (18507).

2³⁷⁰¹³ is an apocalyptic number.

It is an amenable number.

37013 is a deficient number, since it is larger than the sum of its proper divisors (1).

37013 is an equidigital number, since it uses as much as digits as its factorization.

37013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 63, while the sum is 14.

The square root of 37013 is about 192.3876295399. The cubic root of 37013 is about 33.3261206617.

Adding to 37013 its reverse (31073), we get a palindrome (68086).

It can be divided in two parts, 370 and 13, that added together give a palindrome (383).

The spelling of 37013 in words is "thirty-seven thousand, thirteen".