509716 has 12 divisors (see below), whose sum is σ = 907060. Its totient is φ = 250560.

The previous prime is 509699. The next prime is 509723. The reversal of 509716 is 617905.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 211600 + 298116 = 460^2 + 546^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 801 + ... + 1288.

2⁵⁰⁹⁷¹⁶ is an apocalyptic number.

It is an amenable number.

509716 is a deficient number, since it is larger than the sum of its proper divisors (397344).

509716 is a wasteful number, since it uses less digits than its factorization.

509716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 509716 is about 713.9439753930. The cubic root of 509716 is about 79.8808643384.

It can be divided in two parts, 509 and 716, that added together give a triangular number (1225 = T₄₉).

The spelling of 509716 in words is "five hundred nine thousand, seven hundred sixteen".