37993 has 2 divisors, whose sum is σ = 37994. Its totient is φ = 37992.

The previous prime is 37991. The next prime is 37997. The reversal of 37993 is 39973.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21609 + 16384 = 147^2 + 128^2 .

It is a cyclic number.

It is not a de Polignac number, because 37993 - 2¹ = 37991 is a prime.

Together with 37991, it forms a pair of twin primes.

It is a nialpdrome in base 14.

It is not a weakly prime, because it can be changed into another prime (37991) 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, 18996 + 18997.

It is an arithmetic number, because the mean of its divisors is an integer number (18997).

2³⁷⁹⁹³ is an apocalyptic number.

It is an amenable number.

37993 is a deficient number, since it is larger than the sum of its proper divisors (1).

37993 is an equidigital number, since it uses as much as digits as its factorization.

37993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5103, while the sum is 31.

The square root of 37993 is about 194.9179314481. The cubic root of 37993 is about 33.6176895704.

The spelling of 37993 in words is "thirty-seven thousand, nine hundred ninety-three".