122033 has 2 divisors, whose sum is σ = 122034. Its totient is φ = 122032.

The previous prime is 122029. The next prime is 122039. The reversal of 122033 is 330221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113569 + 8464 = 337^2 + 92^2 .

It is a cyclic number.

It is not a de Polignac number, because 122033 - 2² = 122029 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (122039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61016 + 61017.

It is an arithmetic number, because the mean of its divisors is an integer number (61017).

2¹²²⁰³³ is an apocalyptic number.

It is an amenable number.

122033 is a deficient number, since it is larger than the sum of its proper divisors (1).

122033 is an equidigital number, since it uses as much as digits as its factorization.

122033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 122033 is about 349.3322201000. The cubic root of 122033 is about 49.6012280740.

Adding to 122033 its reverse (330221), we get a palindrome (452254).

The spelling of 122033 in words is "one hundred twenty-two thousand, thirty-three".