233364 has 12 divisors (see below), whose sum is σ = 544544. Its totient is φ = 77784.

The previous prime is 233357. The next prime is 233371. The reversal of 233364 is 463332.

It is an interprime number because it is at equal distance from previous prime (233357) and next prime (233371).

It is a tau number, because it is divible by the number of its divisors (12).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 233364.

It is a congruent number.

It is an unprimeable number.

233364 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9712 + ... + 9735.

2²³³³⁶⁴ is an apocalyptic number.

It is an amenable number.

233364 is an abundant number, since it is smaller than the sum of its proper divisors (311180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233364 is a wasteful number, since it uses less digits than its factorization.

233364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19454 (or 19452 counting only the distinct ones).

The product of its digits is 1296, while the sum is 21.

The square root of 233364 is about 483.0776335125. The cubic root of 233364 is about 61.5665219786.

Adding to 233364 its reverse (463332), we get a palindrome (696696).

The spelling of 233364 in words is "two hundred thirty-three thousand, three hundred sixty-four".