122533 has 2 divisors, whose sum is σ = 122534. Its totient is φ = 122532.

The previous prime is 122527. The next prime is 122557. The reversal of 122533 is 335221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91204 + 31329 = 302^2 + 177^2 .

It is an emirp because it is prime and its reverse (335221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122533 - 2⁵ = 122501 is a prime.

It is equal to p₁₁₅₂₇ and since 122533 and 11527 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61266 + 61267.

It is an arithmetic number, because the mean of its divisors is an integer number (61267).

2¹²²⁵³³ is an apocalyptic number.

It is an amenable number.

122533 is a deficient number, since it is larger than the sum of its proper divisors (1).

122533 is an equidigital number, since it uses as much as digits as its factorization.

122533 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 180, while the sum is 16.

The square root of 122533 is about 350.0471396826. The cubic root of 122533 is about 49.6688786807.

Adding to 122533 its reverse (335221), we get a palindrome (457754).

The spelling of 122533 in words is "one hundred twenty-two thousand, five hundred thirty-three".