395967 has 24 divisors (see below), whose sum is σ = 632448. Its totient is φ = 218400.

The previous prime is 395959. The next prime is 395971. The reversal of 395967 is 769593.

It is not a de Polignac number, because 395967 - 2³ = 395959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5542 + ... + 5612.

It is an arithmetic number, because the mean of its divisors is an integer number (26352).

2³⁹⁵⁹⁶⁷ is an apocalyptic number.

395967 is a deficient number, since it is larger than the sum of its proper divisors (236481).

395967 is a wasteful number, since it uses less digits than its factorization.

395967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 98 counting only the distinct ones).

The product of its digits is 51030, while the sum is 39.

The square root of 395967 is about 629.2590881346. The cubic root of 395967 is about 73.4321647248.

395967 divided by its sum of digits (39) gives a triangular number (10153 = T₁₄₂).

It can be divided in two parts, 39 and 5967, that added together give a palindrome (6006).

The spelling of 395967 in words is "three hundred ninety-five thousand, nine hundred sixty-seven".