395524 has 12 divisors (see below), whose sum is σ = 703948. Its totient is φ = 194400.

The previous prime is 395513. The next prime is 395533. The reversal of 395524 is 425593.

395524 = T₅₁₂ + T₅₁₃ + T₅₁₄.

It can be written as a sum of positive squares in 2 ways, for example, as 135424 + 260100 = 368^2 + 510^2 .

It is a d-powerful number, because it can be written as 3⁴ + 9² + 5⁴ + 5⁸ + 2¹² + 4² .

It is a junction number, because it is equal to n+sod(n) for n = 395492 and 395501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 567 + ... + 1054.

2³⁹⁵⁵²⁴ is an apocalyptic number.

395524 is the 514-th centered triangular number.

It is an amenable number.

395524 is a deficient number, since it is larger than the sum of its proper divisors (308424).

395524 is a wasteful number, since it uses less digits than its factorization.

395524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1684 counting only the distinct ones).

The product of its digits is 5400, while the sum is 28.

The square root of 395524 is about 628.9069883536. The cubic root of 395524 is about 73.4047696911.

It can be divided in two parts, 395 and 524, that added together give a palindrome (919).

The spelling of 395524 in words is "three hundred ninety-five thousand, five hundred twenty-four".