5405 has 8 divisors (see below), whose sum is σ = 6912. Its totient is φ = 4048.

The previous prime is 5399. The next prime is 5407. The reversal of 5405 is 5045.

5405 = T₁₉ + T₂₀ + ... + T₃₃.

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

It is a de Polignac number, because none of the positive numbers 2^k-5405 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92 + ... + 138.

It is an arithmetic number, because the mean of its divisors is an integer number (864).

2⁵⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

5405 is a deficient number, since it is larger than the sum of its proper divisors (1507).

5405 is a wasteful number, since it uses less digits than its factorization.

With its successor (5406) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (75).

5405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75.

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

The square root of 5405 is about 73.5187051029. The cubic root of 5405 is about 17.5495196066.

It can be divided in two parts, 540 and 5, that added together give a palindrome (545).

The spelling of 5405 in words is "five thousand, four hundred five".