492757 has 2 divisors, whose sum is σ = 492758. Its totient is φ = 492756.

The previous prime is 492731. The next prime is 492761. The reversal of 492757 is 757294.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 358801 + 133956 = 599^2 + 366^2 .

It is a cyclic number.

It is not a de Polignac number, because 492757 - 2⁷ = 492629 is a prime.

It is a super-2 number, since 2×492757² = 485618922098, which contains 22 as substring.

492757 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (492707) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 246378 + 246379.

It is an arithmetic number, because the mean of its divisors is an integer number (246379).

2⁴⁹²⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

492757 is a deficient number, since it is larger than the sum of its proper divisors (1).

492757 is an equidigital number, since it uses as much as digits as its factorization.

492757 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17640, while the sum is 34.

The square root of 492757 is about 701.9665234183. The cubic root of 492757 is about 78.9849354387.

The spelling of 492757 in words is "four hundred ninety-two thousand, seven hundred fifty-seven".