6355 has 8 divisors (see below), whose sum is σ = 8064. Its totient is φ = 4800.

The previous prime is 6353. The next prime is 6359. The reversal of 6355 is 5536.

6355 = 30² + 31² + ... + 35².

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

It is not a de Polignac number, because 6355 - 2¹ = 6353 is a prime.

It is a Duffinian number.

6355 is a lucky number.

It is a plaindrome in base 14.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6353) 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, 135 + ... + 175.

It is an arithmetic number, because the mean of its divisors is an integer number (1008).

2⁶³⁵⁵ is an apocalyptic number.

6355 is a deficient number, since it is larger than the sum of its proper divisors (1709).

6355 is a wasteful number, since it uses less digits than its factorization.

6355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77.

The product of its digits is 450, while the sum is 19.

The square root of 6355 is about 79.7182538695. The cubic root of 6355 is about 18.5227380508.

Subtracting from 6355 its sum of digits (19), we obtain a palindrome (6336).

It can be divided in two parts, 6 and 355, that added together give a square (361 = 19²).

The spelling of 6355 in words is "six thousand, three hundred fifty-five".