395316 has 36 divisors (see below), whose sum is σ = 1019200. Its totient is φ = 129168.

The previous prime is 395309. The next prime is 395321. The reversal of 395316 is 613593.

395316 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×395316³ = 185333715182743488, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 395316.

It is a congruent number.

It is an unprimeable number.

395316 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2775 + ... + 2913.

2³⁹⁵³¹⁶ is an apocalyptic number.

395316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509600).

395316 is an abundant number, since it is smaller than the sum of its proper divisors (623884).

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

395316 is a wasteful number, since it uses less digits than its factorization.

395316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 223 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 395316 is about 628.7416003415. The cubic root of 395316 is about 73.3918999543.

It can be divided in two parts, 3953 and 16, that added together give a square (3969 = 63²).

The spelling of 395316 in words is "three hundred ninety-five thousand, three hundred sixteen".