997729049 has 2 divisors, whose sum is σ = 997729050. Its totient is φ = 997729048.

The previous prime is 997729003. The next prime is 997729063. The reversal of 997729049 is 940927799.

997729049 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., 769507600 + 228221449 = 27740^2 + 15107^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-997729049 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 997728985 and 997729003.

It is not a weakly prime, because it can be changed into another prime (997729069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 498864524 + 498864525.

It is an arithmetic number, because the mean of its divisors is an integer number (498864525).

Almost surely, 2^997729049 is an apocalyptic number.

It is an amenable number.

997729049 is a deficient number, since it is larger than the sum of its proper divisors (1).

997729049 is an equidigital number, since it uses as much as digits as its factorization.

997729049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2571912, while the sum is 56.

The square root of 997729049 is about 31586.8493047344. The cubic root of 997729049 is about 999.2424425850.

The spelling of 997729049 in words is "nine hundred ninety-seven million, seven hundred twenty-nine thousand, forty-nine".