122557 has 2 divisors, whose sum is σ = 122558. Its totient is φ = 122556.

The previous prime is 122533. The next prime is 122561. The reversal of 122557 is 755221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109561 + 12996 = 331^2 + 114^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122557 is a prime.

It is a Chen prime.

122557 is a lucky number.

It is a plaindrome in base 10.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61278 + 61279.

It is an arithmetic number, because the mean of its divisors is an integer number (61279).

2¹²²⁵⁵⁷ is an apocalyptic number.

It is an amenable number.

122557 is a deficient number, since it is larger than the sum of its proper divisors (1).

122557 is an equidigital number, since it uses as much as digits as its factorization.

122557 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 700, while the sum is 22.

The square root of 122557 is about 350.0814191013. The cubic root of 122557 is about 49.6721212773.

Adding to 122557 its reverse (755221), we get a palindrome (877778).

The spelling of 122557 in words is "one hundred twenty-two thousand, five hundred fifty-seven".