122777 has 2 divisors, whose sum is σ = 122778. Its totient is φ = 122776.

The previous prime is 122761. The next prime is 122789. The reversal of 122777 is 777221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67081 + 55696 = 259^2 + 236^2 .

It is an emirp because it is prime and its reverse (777221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122777 - 2⁴ = 122761 is a prime.

It is a Chen prime.

It is a plaindrome in base 10.

It is not a weakly prime, because it can be changed into another prime (122477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61388 + 61389.

It is an arithmetic number, because the mean of its divisors is an integer number (61389).

2¹²²⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

122777 is a deficient number, since it is larger than the sum of its proper divisors (1).

122777 is an equidigital number, since it uses as much as digits as its factorization.

122777 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1372, while the sum is 26.

The square root of 122777 is about 350.3954908386. The cubic root of 122777 is about 49.7018253725.

Adding to 122777 its reverse (777221), we get a palindrome (899998).

The spelling of 122777 in words is "one hundred twenty-two thousand, seven hundred seventy-seven", and thus it is an iban number.