997728041 has 2 divisors, whose sum is σ = 997728042. Its totient is φ = 997728040.

The previous prime is 997728029. The next prime is 997728047. The reversal of 997728041 is 140827799.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 996728041 + 1000000 = 31571^2 + 1000^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-997728041 is a prime.

It is a super-2 number, since 2×997728041² = 1990922487595395362, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (997728047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 498864020 + 498864021.

It is an arithmetic number, because the mean of its divisors is an integer number (498864021).

Almost surely, 2^997728041 is an apocalyptic number.

It is an amenable number.

997728041 is a deficient number, since it is larger than the sum of its proper divisors (1).

997728041 is an equidigital number, since it uses as much as digits as its factorization.

997728041 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 997728041 is about 31586.8333487230. The cubic root of 997728041 is about 999.2421060752.

The spelling of 997728041 in words is "nine hundred ninety-seven million, seven hundred twenty-eight thousand, forty-one".