50405 has 8 divisors (see below), whose sum is σ = 64152. Its totient is φ = 37888.

The previous prime is 50387. The next prime is 50411.

50405 is nontrivially palindromic in base 10.

50405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12769 + 37636 = 113^2 + 194^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 50405 - 2⁶ = 50341 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 50405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212 + ... + 381.

It is an arithmetic number, because the mean of its divisors is an integer number (8019).

2⁵⁰⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

50405 is a deficient number, since it is larger than the sum of its proper divisors (13747).

50405 is a wasteful number, since it uses less digits than its factorization.

50405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615.

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 50405 is about 224.5105788153. The cubic root of 50405 is about 36.9395164730.

Adding to 50405 its product of nonzero digits (100), we get a palindrome (50505).

Subtracting from 50405 its product of nonzero digits (100), we obtain a palindrome (50305).

It can be divided in two parts, 5040 and 5, that multiplied together give a triangular number (25200 = T₂₂₄).

The spelling of 50405 in words is "fifty thousand, four hundred five".