817029749 has 2 divisors, whose sum is σ = 817029750. Its totient is φ = 817029748.

The previous prime is 817029683. The next prime is 817029757. The reversal of 817029749 is 947920718.

817029749 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 678967249 + 138062500 = 26057^2 + 11750^2 .

It is a cyclic number.

It is not a de Polignac number, because 817029749 - 2²⁴ = 800252533 is a prime.

It is a super-2 number, since 2×817029749² = 1335075221502006002, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (817029649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 408514874 + 408514875.

It is an arithmetic number, because the mean of its divisors is an integer number (408514875).

Almost surely, 2^817029749 is an apocalyptic number.

It is an amenable number.

817029749 is a deficient number, since it is larger than the sum of its proper divisors (1).

817029749 is an equidigital number, since it uses as much as digits as its factorization.

817029749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 254016, while the sum is 47.

The square root of 817029749 is about 28583.7322440580. The cubic root of 817029749 is about 934.8586626133.

The spelling of 817029749 in words is "eight hundred seventeen million, twenty-nine thousand, seven hundred forty-nine".