2405 has 8 divisors (see below), whose sum is σ = 3192. Its totient is φ = 1728.

The previous prime is 2399. The next prime is 2411. The reversal of 2405 is 5042.

2405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2405 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (2399) and next prime (2411).

It can be written as a sum of positive squares in 4 ways, for example, as 289 + 2116 = 17^2 + 46^2 .

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 2405 - 2⁴ = 2389 is a prime.

It is a Duffinian number.

2405 is an undulating number in base 8.

It is a nialpdrome in base 15 and 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, 47 + ... + 83.

It is an arithmetic number, because the mean of its divisors is an integer number (399).

It is an amenable number.

2405 is a deficient number, since it is larger than the sum of its proper divisors (787).

2405 is a wasteful number, since it uses less digits than its factorization.

2405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55.

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 2405 is about 49.0407993410. The cubic root of 2405 is about 13.3979502322.

Adding to 2405 its reverse (5042), we get a palindrome (7447).

The spelling of 2405 in words is "two thousand, four hundred five".