395641 has 9 divisors (see below), whose sum is σ = 431949. Its totient is φ = 362304.

The previous prime is 395627. The next prime is 395657. The reversal of 395641 is 146593.

The square root of 395641 is 629.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 184041 + 211600 = 429^2 + 460^2 .

It is not a de Polignac number, because 395641 - 2⁷ = 395513 is a prime.

It is a Duffinian number.

Its product of digits (3240) is a multiple of the sum of its prime divisors (54).

395641 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (395611) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10675 + ... + 10711.

2³⁹⁵⁶⁴¹ is an apocalyptic number.

395641 is the 629-th square number.

395641 is the 315-th centered octagonal number.

It is an amenable number.

395641 is a deficient number, since it is larger than the sum of its proper divisors (36308).

395641 is an equidigital number, since it uses as much as digits as its factorization.

395641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 54 counting only the distinct ones).

The product of its digits is 3240, while the sum is 28.

The cubic root of 395641 is about 73.4120069353.

The spelling of 395641 in words is "three hundred ninety-five thousand, six hundred forty-one".