716509 has 8 divisors (see below), whose sum is σ = 772640. Its totient is φ = 662256.

The previous prime is 716501. The next prime is 716531. The reversal of 716509 is 905617.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 716509 - 2³ = 716501 is a prime.

It is a Duffinian number.

716509 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (716501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379 + ... + 1255.

It is an arithmetic number, because the mean of its divisors is an integer number (96580).

2⁷¹⁶⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

716509 is a deficient number, since it is larger than the sum of its proper divisors (56131).

716509 is a wasteful number, since it uses less digits than its factorization.

716509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939.

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

The square root of 716509 is about 846.4685463737. The cubic root of 716509 is about 89.4830029206.

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

The spelling of 716509 in words is "seven hundred sixteen thousand, five hundred nine".