803 has 4 divisors (see below), whose sum is σ = 888. Its totient is φ = 720.

The previous prime is 797. The next prime is 809. The reversal of 803 is 308.

803 is nontrivially palindromic in base 4 and base 16.

803 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

803 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is an interprime number because it is at equal distance from previous prime (797) and next prime (809).

It is a cyclic number.

It is not a de Polignac number, because 803 - 2^{4} = 787 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (11), and also a Moran number because the ratio is a prime number: 73 = 803 / (8 + 0 + 3).

It is a magnanimous number.

It is a Duffinian number.

803 is an undulating number in base 16.

It is a plaindrome in base 7, base 12, base 13 and base 15.

It is not an unprimeable number, because it can be changed into a prime (809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26 + ... + 47.

It is an arithmetic number, because the mean of its divisors is an integer number (222).

803 is a deficient number, since it is larger than the sum of its proper divisors (85).

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

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

The sum of its prime factors is 84.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 803 is about 28.3372546306. The cubic root of 803 is about 9.2947671645.

Adding to 803 its reverse (308), we get a palindrome (1111).

The spelling of 803 in words is "eight hundred three", and thus it is an aban number and an oban number.

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