395505 has 48 divisors (see below), whose sum is σ = 808704. Its totient is φ = 176640.

The previous prime is 395491. The next prime is 395509. The reversal of 395505 is 505593.

It is not a de Polignac number, because 395505 - 2⁷ = 395377 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8392 + ... + 8438.

It is an arithmetic number, because the mean of its divisors is an integer number (16848).

2³⁹⁵⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

395505 is an abundant number, since it is smaller than the sum of its proper divisors (413199).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

395505 is a wasteful number, since it uses less digits than its factorization.

395505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 27.

The square root of 395505 is about 628.8918825999. The cubic root of 395505 is about 73.4035942774.

It can be divided in two parts, 395 and 505, that added together give a square (900 = 30²).

The spelling of 395505 in words is "three hundred ninety-five thousand, five hundred five".