493765 has 16 divisors (see below), whose sum is σ = 648432. Its totient is φ = 359424.

The previous prime is 493747. The next prime is 493777. The reversal of 493765 is 567394.

It can be written as a sum of positive squares in 8 ways, for example, as 19044 + 474721 = 138^2 + 689^2 .

It is a cyclic number.

It is not a de Polignac number, because 493765 - 2⁵ = 493733 is a prime.

It is a Duffinian number.

Its product of digits (22680) is a multiple of the sum of its prime divisors (216).

493765 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 493765.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3067 + ... + 3223.

It is an arithmetic number, because the mean of its divisors is an integer number (40527).

2⁴⁹³⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

493765 is a deficient number, since it is larger than the sum of its proper divisors (154667).

493765 is a wasteful number, since it uses less digits than its factorization.

493765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216.

The product of its digits is 22680, while the sum is 34.

The square root of 493765 is about 702.6841395677. The cubic root of 493765 is about 79.0387568203.

The spelling of 493765 in words is "four hundred ninety-three thousand, seven hundred sixty-five".