803561 has 12 divisors (see below), whose sum is σ = 917700. Its totient is φ = 702240.

The previous prime is 803549. The next prime is 803587. The reversal of 803561 is 165308.

It can be written as a sum of positive squares in 2 ways, for example, as 609961 + 193600 = 781^2 + 440^2 .

It is not a de Polignac number, because 803561 - 2⁶ = 803497 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 803561.

It is not an unprimeable number, because it can be changed into a prime (803501) 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, 3395 + ... + 3623.

It is an arithmetic number, because the mean of its divisors is an integer number (76475).

2⁸⁰³⁵⁶¹ is an apocalyptic number.

It is an amenable number.

803561 is a deficient number, since it is larger than the sum of its proper divisors (114139).

803561 is a wasteful number, since it uses less digits than its factorization.

803561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 803561 is about 896.4156402027. The cubic root of 803561 is about 92.9693119543.

Adding to 803561 its reverse (165308), we get a palindrome (968869).

The spelling of 803561 in words is "eight hundred three thousand, five hundred sixty-one".