122833 has 2 divisors, whose sum is σ = 122834. Its totient is φ = 122832.

The previous prime is 122827. The next prime is 122839. The reversal of 122833 is 338221.

It is a happy number.

122833 is nontrivially palindromic in base 16.

It is a balanced prime because it is at equal distance from previous prime (122827) and next prime (122839).

It can be written as a sum of positive squares in only one way, i.e., 117649 + 5184 = 343^2 + 72^2 .

It is a cyclic number.

It is not a de Polignac number, because 122833 - 2⁹ = 122321 is a prime.

It is a super-4 number, since 4×122833⁴ (a number of 21 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122833.

It is not a weakly prime, because it can be changed into another prime (122839) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61416 + 61417.

It is an arithmetic number, because the mean of its divisors is an integer number (61417).

2¹²²⁸³³ is an apocalyptic number.

It is an amenable number.

122833 is a deficient number, since it is larger than the sum of its proper divisors (1).

122833 is an equidigital number, since it uses as much as digits as its factorization.

122833 is an evil number, because the sum of its binary digits is even.

The product of its digits is 288, while the sum is 19.

The square root of 122833 is about 350.4753914328. The cubic root of 122833 is about 49.7093807484.

The spelling of 122833 in words is "one hundred twenty-two thousand, eight hundred thirty-three".