323613 has 12 divisors (see below), whose sum is σ = 479388. Its totient is φ = 210240.

The previous prime is 323599. The next prime is 323623. The reversal of 323613 is 316323.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 131769 + 191844 = 363^2 + 438^2 .

It is not a de Polignac number, because 323613 - 2⁴ = 323597 is a prime.

323613 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 323613.

It is not an unprimeable number, because it can be changed into a prime (323623) 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, 70 + ... + 807.

It is an arithmetic number, because the mean of its divisors is an integer number (39949).

2³²³⁶¹³ is an apocalyptic number.

It is an amenable number.

323613 is a deficient number, since it is larger than the sum of its proper divisors (155775).

323613 is a wasteful number, since it uses less digits than its factorization.

323613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 921 counting only the distinct ones).

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

The square root of 323613 is about 568.8699324099. The cubic root of 323613 is about 68.6554977069.

Adding to 323613 its reverse (316323), we get a palindrome (639936).

It can be divided in two parts, 3236 and 13, that added together give a square (3249 = 57²).

The spelling of 323613 in words is "three hundred twenty-three thousand, six hundred thirteen".