497137 has 2 divisors, whose sum is σ = 497138. Its totient is φ = 497136.

The previous prime is 497117. The next prime is 497141. The reversal of 497137 is 731794.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 495616 + 1521 = 704^2 + 39^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-497137 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 497099 and 497108.

It is not a weakly prime, because it can be changed into another prime (497117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 248568 + 248569.

It is an arithmetic number, because the mean of its divisors is an integer number (248569).

2⁴⁹⁷¹³⁷ is an apocalyptic number.

It is an amenable number.

497137 is a deficient number, since it is larger than the sum of its proper divisors (1).

497137 is an equidigital number, since it uses as much as digits as its factorization.

497137 is an evil number, because the sum of its binary digits is even.

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

The square root of 497137 is about 705.0794281498. The cubic root of 497137 is about 79.2182715556.

The spelling of 497137 in words is "four hundred ninety-seven thousand, one hundred thirty-seven".