36997 has 2 divisors, whose sum is σ = 36998. Its totient is φ = 36996.

The previous prime is 36979. The next prime is 37003. The reversal of 36997 is 79963.

Together with previous prime (36979) 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., 34596 + 2401 = 186^2 + 49^2 .

36997 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 36997 - 2¹¹ = 34949 is a prime.

36997 is a lucky number.

It is a plaindrome in base 9 and base 13.

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 36997.

It is not a weakly prime, because it can be changed into another prime (36947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18498 + 18499.

It is an arithmetic number, because the mean of its divisors is an integer number (18499).

2³⁶⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

36997 is a deficient number, since it is larger than the sum of its proper divisors (1).

36997 is an equidigital number, since it uses as much as digits as its factorization.

36997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10206, while the sum is 34.

The square root of 36997 is about 192.3460423300. The cubic root of 36997 is about 33.3213178916.

Subtracting from 36997 its sum of digits (34), we obtain a palindrome (36963).

The spelling of 36997 in words is "thirty-six thousand, nine hundred ninety-seven".