395629 has 6 divisors (see below), whose sum is σ = 428586. Its totient is φ = 365040.

The previous prime is 395627. The next prime is 395657. The reversal of 395629 is 926593.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2500 + 393129 = 50^2 + 627^2 .

It is not a de Polignac number, because 395629 - 2¹ = 395627 is a prime.

It is a Duffinian number.

395629 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 395594 and 395603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395621) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1002 + ... + 1339.

It is an arithmetic number, because the mean of its divisors is an integer number (71431).

2³⁹⁵⁶²⁹ is an apocalyptic number.

It is an amenable number.

395629 is a deficient number, since it is larger than the sum of its proper divisors (32957).

395629 is a wasteful number, since it uses less digits than its factorization.

395629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2354 counting only the distinct ones).

The product of its digits is 14580, while the sum is 34.

The square root of 395629 is about 628.9904609770. The cubic root of 395629 is about 73.4112647195.

It can be divided in two parts, 395 and 629, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 395629 in words is "three hundred ninety-five thousand, six hundred twenty-nine".