997763 has 16 divisors (see below), whose sum is σ = 1161216. Its totient is φ = 850080.

The previous prime is 997751. The next prime is 997769. The reversal of 997763 is 367799.

It is not a de Polignac number, because 997763 - 2⁶ = 997699 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 10.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 997763.

It is not an unprimeable number, because it can be changed into a prime (997769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14018 + ... + 14088.

It is an arithmetic number, because the mean of its divisors is an integer number (72576).

2⁹⁹⁷⁷⁶³ is an apocalyptic number.

997763 is a deficient number, since it is larger than the sum of its proper divisors (163453).

997763 is a wasteful number, since it uses less digits than its factorization.

997763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154.

The product of its digits is 71442, while the sum is 41.

The square root of 997763 is about 998.8808737782. The cubic root of 997763 is about 99.9253776623.

The spelling of 997763 in words is "nine hundred ninety-seven thousand, seven hundred sixty-three".