233613 has 12 divisors (see below), whose sum is σ = 342108. Its totient is φ = 153600.

The previous prime is 233609. The next prime is 233617. The reversal of 233613 is 316332.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (233609) and next prime (233617).

It can be written as a sum of positive squares in 2 ways, for example, as 227529 + 6084 = 477^2 + 78^2 .

It is not a de Polignac number, because 233613 - 2² = 233609 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233617) 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, 781 + ... + 1037.

It is an arithmetic number, because the mean of its divisors is an integer number (28509).

2²³³⁶¹³ is an apocalyptic number.

It is an amenable number.

233613 is a deficient number, since it is larger than the sum of its proper divisors (108495).

233613 is a wasteful number, since it uses less digits than its factorization.

233613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 361 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 233613 is about 483.3352873524. The cubic root of 233613 is about 61.5884114086.

Subtracting from 233613 its product of digits (324), we obtain a square (233289 = 483²).

Adding to 233613 its reverse (316332), we get a palindrome (549945).

The spelling of 233613 in words is "two hundred thirty-three thousand, six hundred thirteen".