122713 has 6 divisors (see below), whose sum is σ = 127502. Its totient is φ = 118080.

The previous prime is 122701. The next prime is 122719. The reversal of 122713 is 317221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2304 + 120409 = 48^2 + 347^2 .

It is not a de Polignac number, because 122713 - 2⁹ = 122201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122719) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1645 + ... + 1717.

2¹²²⁷¹³ is an apocalyptic number.

It is an amenable number.

122713 is a deficient number, since it is larger than the sum of its proper divisors (4789).

122713 is an frugal number, since it uses more digits than its factorization.

122713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 114 counting only the distinct ones).

The product of its digits is 84, while the sum is 16.

The square root of 122713 is about 350.3041535580. The cubic root of 122713 is about 49.6931878435.

Adding to 122713 its reverse (317221), we get a palindrome (439934).

It can be divided in two parts, 1227 and 13, that multiplied together give a palindrome (15951).

The spelling of 122713 in words is "one hundred twenty-two thousand, seven hundred thirteen".