36122129 has 2 divisors, whose sum is σ = 36122130. Its totient is φ = 36122128.

The previous prime is 36122123. The next prime is 36122131. The reversal of 36122129 is 92122163.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26543104 + 9579025 = 5152^2 + 3095^2 .

It is a cyclic number.

It is not a de Polignac number, because 36122129 - 2⁸ = 36121873 is a prime.

Together with 36122131, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 36122098 and 36122107.

It is not a weakly prime, because it can be changed into another prime (36122123) 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, 18061064 + 18061065.

It is an arithmetic number, because the mean of its divisors is an integer number (18061065).

Almost surely, 2^36122129 is an apocalyptic number.

It is an amenable number.

36122129 is a deficient number, since it is larger than the sum of its proper divisors (1).

36122129 is an equidigital number, since it uses as much as digits as its factorization.

36122129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 26.

The square root of 36122129 is about 6010.1687996262. The cubic root of 36122129 is about 330.5656933276.

The spelling of 36122129 in words is "thirty-six million, one hundred twenty-two thousand, one hundred twenty-nine".