506355 has 8 divisors (see below), whose sum is σ = 810192. Its totient is φ = 270048.

The previous prime is 506351. The next prime is 506357. The reversal of 506355 is 553605.

506355 is digitally balanced in base 7, 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 506355 - 2² = 506351 is a prime.

506355 is strictly pandigital in base 7.

It is not an unprimeable number, because it can be changed into a prime (506351) 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, 16864 + ... + 16893.

It is an arithmetic number, because the mean of its divisors is an integer number (101274).

2⁵⁰⁶³⁵⁵ is an apocalyptic number.

506355 is a deficient number, since it is larger than the sum of its proper divisors (303837).

506355 is a wasteful number, since it uses less digits than its factorization.

506355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33765.

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 506355 is about 711.5862561911. The cubic root of 506355 is about 79.7049023893.

It can be divided in two parts, 506 and 355, that added together give a triangular number (861 = T₄₁).

The spelling of 506355 in words is "five hundred six thousand, three hundred fifty-five".