395385 has 16 divisors (see below), whose sum is σ = 648384. Its totient is φ = 205632.

The previous prime is 395383. The next prime is 395407. The reversal of 395385 is 583593.

It is not a de Polignac number, because 395385 - 2¹ = 395383 is a prime.

It is a d-powerful number, because it can be written as 3 + 9 + 3³ + 5⁴ + 8⁴ + 5⁸ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 395385.

It is not an unprimeable number, because it can be changed into a prime (395383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339 + ... + 951.

It is an arithmetic number, because the mean of its divisors is an integer number (40524).

2³⁹⁵³⁸⁵ is an apocalyptic number.

It is an amenable number.

395385 is a deficient number, since it is larger than the sum of its proper divisors (252999).

395385 is a wasteful number, since it uses less digits than its factorization.

395385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664.

The product of its digits is 16200, while the sum is 33.

The square root of 395385 is about 628.7964694557. The cubic root of 395385 is about 73.3961697422.

It can be divided in two parts, 395 and 385, that added together give a triangular number (780 = T₃₉).

The spelling of 395385 in words is "three hundred ninety-five thousand, three hundred eighty-five".