121833 has 6 divisors (see below), whose sum is σ = 175994. Its totient is φ = 81216.

The previous prime is 121789. The next prime is 121843. The reversal of 121833 is 338121.

It can be written as a sum of positive squares in only one way, i.e., 121104 + 729 = 348^2 + 27^2 .

It is not a de Polignac number, because 121833 - 2⁸ = 121577 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 121833.

It is not an unprimeable number, because it can be changed into a prime (121843) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6760 + ... + 6777.

2¹²¹⁸³³ is an apocalyptic number.

It is an amenable number.

121833 is a deficient number, since it is larger than the sum of its proper divisors (54161).

121833 is a wasteful number, since it uses less digits than its factorization.

121833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13543 (or 13540 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 121833 is about 349.0458422614. The cubic root of 121833 is about 49.5741160907.

Adding to 121833 its reverse (338121), we get a palindrome (459954).

The spelling of 121833 in words is "one hundred twenty-one thousand, eight hundred thirty-three".