493713 has 12 divisors (see below), whose sum is σ = 778128. Its totient is φ = 299160.

The previous prime is 493711. The next prime is 493721. The reversal of 493713 is 317394.

493713 = 122² + 123² + ... + 148².

It is not a de Polignac number, because 493713 - 2¹ = 493711 is a prime.

493713 is a lucky number.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 493713.

It is not an unprimeable number, because it can be changed into a prime (493711) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2395 + ... + 2592.

It is an arithmetic number, because the mean of its divisors is an integer number (64844).

2⁴⁹³⁷¹³ is an apocalyptic number.

It is an amenable number.

493713 is a deficient number, since it is larger than the sum of its proper divisors (284415).

493713 is a wasteful number, since it uses less digits than its factorization.

493713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5004 (or 5001 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 493713 is about 702.6471376160. The cubic root of 493713 is about 79.0359821133.

It can be divided in two parts, 4937 and 13, that added together give a triangular number (4950 = T₉₉).

The spelling of 493713 in words is "four hundred ninety-three thousand, seven hundred thirteen".