509723 has 2 divisors, whose sum is σ = 509724. Its totient is φ = 509722.

The previous prime is 509699. The next prime is 509731. The reversal of 509723 is 327905.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 509723 - 2⁶ = 509659 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 509692 and 509701.

It is not a weakly prime, because it can be changed into another prime (509783) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254861 + 254862.

It is an arithmetic number, because the mean of its divisors is an integer number (254862).

2⁵⁰⁹⁷²³ is an apocalyptic number.

509723 is a deficient number, since it is larger than the sum of its proper divisors (1).

509723 is an equidigital number, since it uses as much as digits as its factorization.

509723 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 509723 is about 713.9488777216. The cubic root of 509723 is about 79.8812300084.

The spelling of 509723 in words is "five hundred nine thousand, seven hundred twenty-three".