997837 has 4 divisors (see below), whose sum is σ = 1011580. Its totient is φ = 984096.

The previous prime is 997813. The next prime is 997877. The reversal of 997837 is 738799.

997837 = 79² + 80² + ... + 151².

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 738799 = 223 ⋅3313.

It can be written as a sum of positive squares in 2 ways, for example, as 662596 + 335241 = 814^2 + 579^2 .

It is a cyclic number.

It is not a de Polignac number, because 997837 - 2¹⁹ = 473549 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 997793 and 997802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997807) 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, 6762 + ... + 6907.

It is an arithmetic number, because the mean of its divisors is an integer number (252895).

2⁹⁹⁷⁸³⁷ is an apocalyptic number.

It is an amenable number.

997837 is a deficient number, since it is larger than the sum of its proper divisors (13743).

997837 is a wasteful number, since it uses less digits than its factorization.

997837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13742.

The product of its digits is 95256, while the sum is 43.

The square root of 997837 is about 998.9179145455. The cubic root of 997837 is about 99.9278479533.

The spelling of 997837 in words is "nine hundred ninety-seven thousand, eight hundred thirty-seven".