137197 has 2 divisors, whose sum is σ = 137198. Its totient is φ = 137196.

The previous prime is 137191. The next prime is 137201. The reversal of 137197 is 791731.

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., 125316 + 11881 = 354^2 + 109^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68598 + 68599.

It is an arithmetic number, because the mean of its divisors is an integer number (68599).

2¹³⁷¹⁹⁷ is an apocalyptic number.

It is an amenable number.

137197 is a deficient number, since it is larger than the sum of its proper divisors (1).

137197 is an equidigital number, since it uses as much as digits as its factorization.

137197 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1323, while the sum is 28.

The square root of 137197 is about 370.4011339076. The cubic root of 137197 is about 51.5760650566.

The spelling of 137197 in words is "one hundred thirty-seven thousand, one hundred ninety-seven".