396825 has 48 divisors (see below), whose sum is σ = 791616. Its totient is φ = 172800.

The previous prime is 396733. The next prime is 396833. The reversal of 396825 is 528693.

It is a happy number.

It is not a de Polignac number, because 396825 - 2¹⁴ = 380441 is a prime.

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

396825 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10707 + ... + 10743.

It is an arithmetic number, because the mean of its divisors is an integer number (16492).

2³⁹⁶⁸²⁵ is an apocalyptic number.

It is an amenable number.

396825 is a deficient number, since it is larger than the sum of its proper divisors (394791).

396825 is a wasteful number, since it uses less digits than its factorization.

396825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 69 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 396825 is about 629.9404733782. The cubic root of 396825 is about 73.4851652230.

It can be divided in two parts, 3968 and 25, that added together give a palindrome (3993).

The spelling of 396825 in words is "three hundred ninety-six thousand, eight hundred twenty-five".