233121 has 16 divisors (see below), whose sum is σ = 376704. Its totient is φ = 125184.

The previous prime is 233117. The next prime is 233141. The reversal of 233121 is 121332.

233121 = 109² + 110² + ... + 125².

It is a happy number.

233121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 233121 - 2² = 233117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 233097 and 233106.

It is not an unprimeable number, because it can be changed into a prime (233141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31 + ... + 683.

It is an arithmetic number, because the mean of its divisors is an integer number (23544).

2²³³¹²¹ is an apocalyptic number.

233121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

233121 is a deficient number, since it is larger than the sum of its proper divisors (143583).

233121 is a wasteful number, since it uses less digits than its factorization.

233121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680.

The product of its digits is 36, while the sum is 12.

The square root of 233121 is about 482.8260556349. The cubic root of 233121 is about 61.5451449873.

Adding to 233121 its reverse (121332), we get a palindrome (354453).

The spelling of 233121 in words is "two hundred thirty-three thousand, one hundred twenty-one".