9405 has 24 divisors (see below), whose sum is σ = 18720. Its totient is φ = 4320.

The previous prime is 9403. The next prime is 9413. The reversal of 9405 is 5049.

It is not a de Polignac number, because 9405 - 2¹ = 9403 is a prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 486 + ... + 504.

It is an arithmetic number, because the mean of its divisors is an integer number (780).

2⁹⁴⁰⁵ is an apocalyptic number.

9405 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

9405 is a deficient number, since it is larger than the sum of its proper divisors (9315).

9405 is a wasteful number, since it uses less digits than its factorization.

9405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 9405 is about 96.9793792515. The cubic root of 9405 is about 21.1082842219.

Subtracting from 9405 its reverse (5049), we obtain a square (4356 = 66²).

It can be divided in two parts, 9 and 405, that added together give a palindrome (414).

The spelling of 9405 in words is "nine thousand, four hundred five".