17925 has 12 divisors (see below), whose sum is σ = 29760. Its totient is φ = 9520.

The previous prime is 17923. The next prime is 17929. The reversal of 17925 is 52971.

17925 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 17925 - 2¹ = 17923 is a prime.

It is a Curzon number.

17925 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 17895 and 17904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45 + ... + 194.

It is an arithmetic number, because the mean of its divisors is an integer number (2480).

17925 is a Friedman number, since it can be written as 5*(7*2^9+1), using all its digits and the basic arithmetic operations.

2¹⁷⁹²⁵ is an apocalyptic number.

17925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

17925 is a deficient number, since it is larger than the sum of its proper divisors (11835).

17925 is a wasteful number, since it uses less digits than its factorization.

17925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 247 counting only the distinct ones).

The product of its digits is 630, while the sum is 24.

The square root of 17925 is about 133.8842783900. The cubic root of 17925 is about 26.1709640843.

The spelling of 17925 in words is "seventeen thousand, nine hundred twenty-five".