405825 has 24 divisors (see below), whose sum is σ = 767808. Its totient is φ = 185280.

The previous prime is 405817. The next prime is 405827. The reversal of 405825 is 528504.

It is not a de Polignac number, because 405825 - 2³ = 405817 is a prime.

It is a Curzon number.

405825 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 405795 and 405804.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 405825.

It is not an unprimeable number, because it can be changed into a prime (405827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (31992).

2⁴⁰⁵⁸²⁵ is an apocalyptic number.

It is an amenable number.

405825 is a deficient number, since it is larger than the sum of its proper divisors (361983).

405825 is a wasteful number, since it uses less digits than its factorization.

405825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 405825 is about 637.0439545275. The cubic root of 405825 is about 74.0365658098.

The spelling of 405825 in words is "four hundred five thousand, eight hundred twenty-five".