403125 has 24 divisors (see below), whose sum is σ = 687456. Its totient is φ = 210000.

The previous prime is 403103. The next prime is 403133. The reversal of 403125 is 521304.

It is not a de Polignac number, because 403125 - 2⁶ = 403061 is a prime.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam 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 403125.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9354 + ... + 9396.

It is an arithmetic number, because the mean of its divisors is an integer number (28644).

2⁴⁰³¹²⁵ is an apocalyptic number.

It is an amenable number.

403125 is a deficient number, since it is larger than the sum of its proper divisors (284331).

403125 is an frugal number, since it uses more digits than its factorization.

403125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 403125 is about 634.9212549600. The cubic root of 403125 is about 73.8720090921.

Adding to 403125 its reverse (521304), we get a palindrome (924429).

It can be divided in two parts, 403 and 125, that added together give a triangular number (528 = T₃₂).

The spelling of 403125 in words is "four hundred three thousand, one hundred twenty-five".