13405 has 8 divisors (see below), whose sum is σ = 18432. Its totient is φ = 9168.

The previous prime is 13399. The next prime is 13411. The reversal of 13405 is 50431.

13405 = 32² + 33² + ... + 41².

It is an interprime number because it is at equal distance from previous prime (13399) and next prime (13411).

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 13405 - 2³ = 13397 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

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, 157 + ... + 226.

It is an arithmetic number, because the mean of its divisors is an integer number (2304).

2¹³⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

13405 is a deficient number, since it is larger than the sum of its proper divisors (5027).

13405 is an equidigital number, since it uses as much as digits as its factorization.

13405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 13405 is about 115.7799637243. The cubic root of 13405 is about 23.7550312517.

Adding to 13405 its reverse (50431), we get a palindrome (63836).

The spelling of 13405 in words is "thirteen thousand, four hundred five".