1022085749 has 2 divisors, whose sum is σ = 1022085750. Its totient is φ = 1022085748.

The previous prime is 1022085719. The next prime is 1022085751. The reversal of 1022085749 is 9475802201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 809800849 + 212284900 = 28457^2 + 14570^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022085749 - 2¹² = 1022081653 is a prime.

It is a Sophie Germain prime.

Together with 1022085751, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022085709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511042874 + 511042875.

It is an arithmetic number, because the mean of its divisors is an integer number (511042875).

Almost surely, 2^1022085749 is an apocalyptic number.

It is an amenable number.

1022085749 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022085749 is an equidigital number, since it uses as much as digits as its factorization.

1022085749 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 1022085749 is about 31970.0758366320. The cubic root of 1022085749 is about 1007.3083738854.

The spelling of 1022085749 in words is "one billion, twenty-two million, eighty-five thousand, seven hundred forty-nine".