506731 has 2 divisors, whose sum is σ = 506732. Its totient is φ = 506730.

The previous prime is 506729. The next prime is 506743. The reversal of 506731 is 137605.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 506731 - 2¹ = 506729 is a prime.

It is a super-2 number, since 2×506731² = 513552612722, which contains 22 as substring.

Together with 506729, it forms a pair of twin primes.

506731 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (506791) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253365 + 253366.

It is an arithmetic number, because the mean of its divisors is an integer number (253366).

2⁵⁰⁶⁷³¹ is an apocalyptic number.

506731 is the 381-st centered heptagonal number.

506731 is a deficient number, since it is larger than the sum of its proper divisors (1).

506731 is an equidigital number, since it uses as much as digits as its factorization.

506731 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 506731 is about 711.8504056331. The cubic root of 506731 is about 79.7246261196.

The spelling of 506731 in words is "five hundred six thousand, seven hundred thirty-one".