395637 has 16 divisors (see below), whose sum is σ = 606720. Its totient is φ = 226800.

The previous prime is 395627. The next prime is 395657. The reversal of 395637 is 736593.

It is not a de Polignac number, because 395637 - 2⁴ = 395621 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 395598 and 395607.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 395637.

It is not an unprimeable number, because it can be changed into a prime (395627) 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, 312 + ... + 942.

It is an arithmetic number, because the mean of its divisors is an integer number (37920).

2³⁹⁵⁶³⁷ is an apocalyptic number.

It is an amenable number.

395637 is a deficient number, since it is larger than the sum of its proper divisors (211083).

395637 is a wasteful number, since it uses less digits than its factorization.

395637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664.

The product of its digits is 17010, while the sum is 33.

The square root of 395637 is about 628.9968203417. The cubic root of 395637 is about 73.4117595317.

It can be divided in two parts, 3956 and 37, that added together give a palindrome (3993).

The spelling of 395637 in words is "three hundred ninety-five thousand, six hundred thirty-seven".