122561 has 2 divisors, whose sum is σ = 122562. Its totient is φ = 122560.

The previous prime is 122557. The next prime is 122579. The reversal of 122561 is 165221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118336 + 4225 = 344^2 + 65^2 .

It is a cyclic number.

It is not a de Polignac number, because 122561 - 2² = 122557 is a prime.

It is a super-3 number, since 3×122561³ = 5523039409333443, which contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (122501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61280 + 61281.

It is an arithmetic number, because the mean of its divisors is an integer number (61281).

2¹²²⁵⁶¹ is an apocalyptic number.

It is an amenable number.

122561 is a deficient number, since it is larger than the sum of its proper divisors (1).

122561 is an equidigital number, since it uses as much as digits as its factorization.

122561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 120, while the sum is 17.

The square root of 122561 is about 350.0871320114. The cubic root of 122561 is about 49.6726616689.

Adding to 122561 its reverse (165221), we get a palindrome (287782).

The spelling of 122561 in words is "one hundred twenty-two thousand, five hundred sixty-one".