122085749 has 2 divisors, whose sum is σ = 122085750. Its totient is φ = 122085748.

The previous prime is 122085739. The next prime is 122085757. The reversal of 122085749 is 947580221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114105124 + 7980625 = 10682^2 + 2825^2 .

It is a cyclic number.

It is not a de Polignac number, because 122085749 - 2⁸ = 122085493 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122085739) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61042874 + 61042875.

It is an arithmetic number, because the mean of its divisors is an integer number (61042875).

Almost surely, 2^122085749 is an apocalyptic number.

It is an amenable number.

122085749 is a deficient number, since it is larger than the sum of its proper divisors (1).

122085749 is an equidigital number, since it uses as much as digits as its factorization.

122085749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 122085749 is about 11049.2420102014. The cubic root of 122085749 is about 496.0837378673.

The spelling of 122085749 in words is "one hundred twenty-two million, eighty-five thousand, seven hundred forty-nine".