803997 has 12 divisors (see below), whose sum is σ = 1170780. Its totient is φ = 531648.

The previous prime is 803989. The next prime is 804007. The reversal of 803997 is 799308.

It can be written as a sum of positive squares in 2 ways, for example, as 181476 + 622521 = 426^2 + 789^2 .

It is not a de Polignac number, because 803997 - 2³ = 803989 is a prime.

It is a super-2 number, since 2×803997² = 1292822352018, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1129 + ... + 1697.

It is an arithmetic number, because the mean of its divisors is an integer number (97565).

2⁸⁰³⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

803997 is a deficient number, since it is larger than the sum of its proper divisors (366783).

803997 is a wasteful number, since it uses less digits than its factorization.

803997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 803997 is about 896.6587979828. The cubic root of 803997 is about 92.9861234932.

The spelling of 803997 in words is "eight hundred three thousand, nine hundred ninety-seven".