37097 has 2 divisors, whose sum is σ = 37098. Its totient is φ = 37096.

The previous prime is 37087. The next prime is 37117. The reversal of 37097 is 79073.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26896 + 10201 = 164^2 + 101^2 .

It is a cyclic number.

It is not a de Polignac number, because 37097 - 2¹⁰ = 36073 is a prime.

It is a Chen prime.

It is a plaindrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37097.

It is not a weakly prime, because it can be changed into another prime (37057) 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, 18548 + 18549.

It is an arithmetic number, because the mean of its divisors is an integer number (18549).

2³⁷⁰⁹⁷ is an apocalyptic number.

It is an amenable number.

37097 is a deficient number, since it is larger than the sum of its proper divisors (1).

37097 is an equidigital number, since it uses as much as digits as its factorization.

37097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1323, while the sum is 26.

The square root of 37097 is about 192.6058150732. The cubic root of 37097 is about 33.3513125229.

The spelling of 37097 in words is "thirty-seven thousand, ninety-seven".