137497 has 4 divisors (see below), whose sum is σ = 138240. Its totient is φ = 136756.

The previous prime is 137491. The next prime is 137507. The reversal of 137497 is 794731.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 137497 - 2⁷ = 137369 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137491) 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 in 3 ways as a sum of consecutive naturals, for example, 168 + ... + 550.

It is an arithmetic number, because the mean of its divisors is an integer number (34560).

137497 is a Friedman number, since it can be written as 7*3^9-71*4, using all its digits and the basic arithmetic operations.

2¹³⁷⁴⁹⁷ is an apocalyptic number.

It is an amenable number.

137497 is a deficient number, since it is larger than the sum of its proper divisors (743).

137497 is an equidigital number, since it uses as much as digits as its factorization.

137497 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742.

The product of its digits is 5292, while the sum is 31.

The square root of 137497 is about 370.8058791335. The cubic root of 137497 is about 51.6136303955.

It can be divided in two parts, 13 and 7497, that multiplied together give a triangular number (97461 = T₄₄₁).

The spelling of 137497 in words is "one hundred thirty-seven thousand, four hundred ninety-seven".