438125 has 10 divisors (see below), whose sum is σ = 548262. Its totient is φ = 350000.

The previous prime is 438091. The next prime is 438131. The reversal of 438125 is 521834.

It can be written as a sum of positive squares in 5 ways, for example, as 91204 + 346921 = 302^2 + 589^2 .

It is not a de Polignac number, because 438125 - 2¹² = 434029 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 438125.

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 438125.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 275 + ... + 975.

2⁴³⁸¹²⁵ is an apocalyptic number.

It is an amenable number.

438125 is a deficient number, since it is larger than the sum of its proper divisors (110137).

438125 is an frugal number, since it uses more digits than its factorization.

438125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 706 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 438125 is about 661.9101147437. The cubic root of 438125 is about 75.9508569650.

Adding to 438125 its reverse (521834), we get a palindrome (959959).

The spelling of 438125 in words is "four hundred thirty-eight thousand, one hundred twenty-five".