17825 has 12 divisors (see below), whose sum is σ = 23808. Its totient is φ = 13200.

The previous prime is 17807. The next prime is 17827. The reversal of 17825 is 52871.

17825 is digitally balanced in base 3 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 17825 - 2⁶ = 17761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

17825 is strictly pandigital in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 17825.

It is not an unprimeable number, because it can be changed into a prime (17827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 560 + ... + 590.

It is an arithmetic number, because the mean of its divisors is an integer number (1984).

2¹⁷⁸²⁵ is an apocalyptic number.

It is an amenable number.

17825 is a deficient number, since it is larger than the sum of its proper divisors (5983).

17825 is a wasteful number, since it uses less digits than its factorization.

17825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 59 counting only the distinct ones).

The product of its digits is 560, while the sum is 23.

The square root of 17825 is about 133.5102992282. The cubic root of 17825 is about 26.1222057709.

The spelling of 17825 in words is "seventeen thousand, eight hundred twenty-five".