232713 has 30 divisors (see below), whose sum is σ = 398574. Its totient is φ = 134784.

The previous prime is 232711. The next prime is 232741. The reversal of 232713 is 317232.

It can be written as a sum of positive squares in 3 ways, for example, as 5184 + 227529 = 72^2 + 477^2 .

It is not a de Polignac number, because 232713 - 2¹ = 232711 is a prime.

It is not an unprimeable number, because it can be changed into a prime (232711) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13681 + ... + 13697.

2²³²⁷¹³ is an apocalyptic number.

It is an amenable number.

232713 is a deficient number, since it is larger than the sum of its proper divisors (165861).

232713 is a wasteful number, since it uses less digits than its factorization.

232713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 33 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 232713 is about 482.4033581973. The cubic root of 232713 is about 61.5092193198.

Adding to 232713 its reverse (317232), we get a palindrome (549945).

The spelling of 232713 in words is "two hundred thirty-two thousand, seven hundred thirteen".