172713 has 4 divisors (see below), whose sum is σ = 230288. Its totient is φ = 115140.

The previous prime is 172709. The next prime is 172717. The reversal of 172713 is 317271.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (172709) and next prime (172717).

It is not a de Polignac number, because 172713 - 2² = 172709 is a prime.

It is a D-number.

It is a Duffinian number.

172713 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 172713.

It is not an unprimeable number, because it can be changed into a prime (172717) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28783 + ... + 28788.

It is an arithmetic number, because the mean of its divisors is an integer number (57572).

2¹⁷²⁷¹³ is an apocalyptic number.

It is an amenable number.

172713 is a deficient number, since it is larger than the sum of its proper divisors (57575).

172713 is an equidigital number, since it uses as much as digits as its factorization.

172713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57574.

The product of its digits is 294, while the sum is 21.

The square root of 172713 is about 415.5875359055. The cubic root of 172713 is about 55.6897167900.

Adding to 172713 its reverse (317271), we get a palindrome (489984).

The spelling of 172713 in words is "one hundred seventy-two thousand, seven hundred thirteen".