16125 has 16 divisors (see below), whose sum is σ = 27456. Its totient is φ = 8400.

The previous prime is 16111. The next prime is 16127. The reversal of 16125 is 52161.

It is not a de Polignac number, because 16125 - 2⁶ = 16061 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 alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354 + ... + 396.

It is an arithmetic number, because the mean of its divisors is an integer number (1716).

2¹⁶¹²⁵ is an apocalyptic number.

16125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16125 is a deficient number, since it is larger than the sum of its proper divisors (11331).

16125 is an equidigital number, since it uses as much as digits as its factorization.

16125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 51 counting only the distinct ones).

The product of its digits is 60, while the sum is 15.

The square root of 16125 is about 126.9842509920. The cubic root of 16125 is about 25.2638717360.

Subtracting from 16125 its sum of digits (15), we obtain a triangular number (16110 = T₁₇₉).

Adding to 16125 its reverse (52161), we get a palindrome (68286).

It can be divided in two parts, 16 and 125, that added together give a palindrome (141).

The spelling of 16125 in words is "sixteen thousand, one hundred twenty-five".