412125 has 32 divisors (see below), whose sum is σ = 788736. Its totient is φ = 187200.

The previous prime is 412123. The next prime is 412127. The reversal of 412125 is 521214.

It is an interprime number because it is at equal distance from previous prime (412123) and next prime (412127).

It is not a de Polignac number, because 412125 - 2¹ = 412123 is a prime.

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

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

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2547 + ... + 2703.

It is an arithmetic number, because the mean of its divisors is an integer number (24648).

2⁴¹²¹²⁵ is an apocalyptic number.

It is an amenable number.

412125 is a deficient number, since it is larger than the sum of its proper divisors (376611).

412125 is a wasteful number, since it uses less digits than its factorization.

412125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 172 counting only the distinct ones).

The product of its digits is 80, while the sum is 15.

The square root of 412125 is about 641.9696254497. The cubic root of 412125 is about 74.4177131487.

Adding to 412125 its reverse (521214), we get a palindrome (933339).

The spelling of 412125 in words is "four hundred twelve thousand, one hundred twenty-five".