405125 has 16 divisors (see below), whose sum is σ = 579072. Its totient is φ = 277200.

The previous prime is 405091. The next prime is 405143. The reversal of 405125 is 521504.

It is not a de Polignac number, because 405125 - 2¹² = 401029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 405125.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 644 + ... + 1106.

It is an arithmetic number, because the mean of its divisors is an integer number (36192).

2⁴⁰⁵¹²⁵ is an apocalyptic number.

It is an amenable number.

405125 is a deficient number, since it is larger than the sum of its proper divisors (173947).

405125 is an equidigital number, since it uses as much as digits as its factorization.

405125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 405125 is about 636.4943047664. The cubic root of 405125 is about 73.9939732126.

Adding to 405125 its reverse (521504), we get a palindrome (926629).

It can be divided in two parts, 405 and 125, that multiplied together give a 4-th power (50625 = 15⁴).

The spelling of 405125 in words is "four hundred five thousand, one hundred twenty-five".