37397 has 2 divisors, whose sum is σ = 37398. Its totient is φ = 37396.

The previous prime is 37379. The next prime is 37409. The reversal of 37397 is 79373.

Together with previous prime (37379) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28561 + 8836 = 169^2 + 94^2 .

37397 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 37397 - 2¹⁰ = 36373 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18698 + 18699.

It is an arithmetic number, because the mean of its divisors is an integer number (18699).

2³⁷³⁹⁷ is an apocalyptic number.

It is an amenable number.

37397 is a deficient number, since it is larger than the sum of its proper divisors (1).

37397 is an equidigital number, since it uses as much as digits as its factorization.

37397 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3969, while the sum is 29.

The square root of 37397 is about 193.3830395872. The cubic root of 37397 is about 33.4409742511.

It can be divided in two parts, 37 and 397, that added together give a palindrome (434).

The spelling of 37397 in words is "thirty-seven thousand, three hundred ninety-seven".