2355 has 8 divisors (see below), whose sum is σ = 3792. Its totient is φ = 1248.

The previous prime is 2351. The next prime is 2357. The reversal of 2355 is 5532.

2355 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 2355 - 2² = 2351 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 157 = 2355 / (2 + 3 + 5 + 5).

It is a d-powerful number, because it can be written as 2¹⁰ + 5⁴ + 3⁴ + 5⁴ .

2355 is a lucky number.

It is a plaindrome in base 10.

It is a nialpdrome in base 15 and base 16.

It is not an unprimeable number, because it can be changed into a prime (2351) 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, 64 + ... + 93.

It is an arithmetic number, because the mean of its divisors is an integer number (474).

2355 is a deficient number, since it is larger than the sum of its proper divisors (1437).

2355 is a wasteful number, since it uses less digits than its factorization.

2355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165.

The product of its digits is 150, while the sum is 15.

The square root of 2355 is about 48.5283422342. The cubic root of 2355 is about 13.3044513715.

Adding to 2355 its reverse (5532), we get a palindrome (7887).

It can be divided in two parts, 23 and 55, that added together give a triangular number (78 = T₁₂).

The spelling of 2355 in words is "two thousand, three hundred fifty-five".