122761 has 2 divisors, whose sum is σ = 122762. Its totient is φ = 122760.

The previous prime is 122753. The next prime is 122777. The reversal of 122761 is 167221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90000 + 32761 = 300^2 + 181^2 .

It is an emirp because it is prime and its reverse (167221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122761 - 2³ = 122753 is a prime.

It is a pancake number, because a pancake can be divided into 122761 parts by 495 straight cuts.

122761 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (122701) 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, 61380 + 61381.

It is an arithmetic number, because the mean of its divisors is an integer number (61381).

2¹²²⁷⁶¹ is an apocalyptic number.

It is an amenable number.

122761 is a deficient number, since it is larger than the sum of its proper divisors (1).

122761 is an equidigital number, since it uses as much as digits as its factorization.

122761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 168, while the sum is 19.

The square root of 122761 is about 350.3726587507. The cubic root of 122761 is about 49.6996662717.

Adding to 122761 its reverse (167221), we get a palindrome (289982).

It can be divided in two parts, 1227 and 61, that multiplied together give a palindrome (74847).

The spelling of 122761 in words is "one hundred twenty-two thousand, seven hundred sixty-one".