163125 has 30 divisors (see below), whose sum is σ = 304590. Its totient is φ = 84000.

The previous prime is 163117. The next prime is 163127. The reversal of 163125 is 521361.

It can be written as a sum of positive squares in 5 ways, for example, as 62001 + 101124 = 249^2 + 318^2 .

It is not a de Polignac number, because 163125 - 2³ = 163117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 163098 and 163107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163127) 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 29 ways as a sum of consecutive naturals, for example, 5611 + ... + 5639.

It is an arithmetic number, because the mean of its divisors is an integer number (10153).

163125 is a Friedman number, since it can be written as 261*5^(3+1), using all its digits and the basic arithmetic operations.

2¹⁶³¹²⁵ is an apocalyptic number.

163125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

163125 is a deficient number, since it is larger than the sum of its proper divisors (141465).

163125 is an equidigital number, since it uses as much as digits as its factorization.

163125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 37 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 163125 is about 403.8873605351. The cubic root of 163125 is about 54.6395157328.

Adding to 163125 its reverse (521361), we get a palindrome (684486).

The spelling of 163125 in words is "one hundred sixty-three thousand, one hundred twenty-five".