395312 has 20 divisors (see below), whose sum is σ = 791616. Its totient is φ = 191040.

The previous prime is 395309. The next prime is 395321. The reversal of 395312 is 213593.

It is a happy number.

395312 is an admirable number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98 + ... + 894.

2³⁹⁵³¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395808).

395312 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

395312 is a wasteful number, since it uses less digits than its factorization.

395312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 830 counting only the distinct ones).

The product of its digits is 810, while the sum is 23.

The square root of 395312 is about 628.7384193765. The cubic root of 395312 is about 73.3916524151.

It can be divided in two parts, 395 and 312, that added together give a palindrome (707).

The spelling of 395312 in words is "three hundred ninety-five thousand, three hundred twelve".