50805 has 12 divisors (see below), whose sum is σ = 88140. Its totient is φ = 27072.

The previous prime is 50789. The next prime is 50821.

50805 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (50789) and next prime (50821).

It can be written as a sum of positive squares in 2 ways, for example, as 10404 + 40401 = 102^2 + 201^2 .

It is not a de Polignac number, because 50805 - 2⁴ = 50789 is a prime.

It is a super-2 number, since 2×50805² = 5162296050, which contains 22 as substring.

It is a Curzon number.

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 520 + ... + 609.

It is an arithmetic number, because the mean of its divisors is an integer number (7345).

2⁵⁰⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

50805 is a deficient number, since it is larger than the sum of its proper divisors (37335).

50805 is a wasteful number, since it uses less digits than its factorization.

50805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 50805 is about 225.3996450751. The cubic root of 50805 is about 37.0369730246.

Subtracting from 50805 its product of nonzero digits (200), we obtain a palindrome (50605).

The spelling of 50805 in words is "fifty thousand, eight hundred five".