56405 has 8 divisors (see below), whose sum is σ = 70200. Its totient is φ = 43456.

The previous prime is 56401. The next prime is 56417. The reversal of 56405 is 50465.

It can be written as a sum of positive squares in 4 ways, for example, as 2116 + 54289 = 46^2 + 233^2 .

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 56405 - 2² = 56401 is a prime.

It is a plaindrome in base 14.

It is a nialpdrome in base 9 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50 + ... + 339.

It is an arithmetic number, because the mean of its divisors is an integer number (8775).

2⁵⁶⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

56405 is a deficient number, since it is larger than the sum of its proper divisors (13795).

56405 is a wasteful number, since it uses less digits than its factorization.

56405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423.

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 56405 is about 237.4973684065. The cubic root of 56405 is about 38.3506328134.

The spelling of 56405 in words is "fifty-six thousand, four hundred five".