997753 has 4 divisors (see below), whose sum is σ = 1002340. Its totient is φ = 993168.

The previous prime is 997751. The next prime is 997769. The reversal of 997753 is 357799.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 976144 + 21609 = 988^2 + 147^2 .

It is a cyclic number.

It is not a de Polignac number, because 997753 - 2¹ = 997751 is a prime.

It is a super-2 number, since 2×997753² = 1991022098018, which contains 22 as substring.

It is a Duffinian number.

997753 is a lucky number.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1950 + ... + 2407.

It is an arithmetic number, because the mean of its divisors is an integer number (250585).

2⁹⁹⁷⁷⁵³ is an apocalyptic number.

It is an amenable number.

997753 is a deficient number, since it is larger than the sum of its proper divisors (4587).

997753 is a wasteful number, since it uses less digits than its factorization.

997753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4586.

The product of its digits is 59535, while the sum is 40.

The square root of 997753 is about 998.8758681638. The cubic root of 997753 is about 99.9250438298.

The spelling of 997753 in words is "nine hundred ninety-seven thousand, seven hundred fifty-three".