20175 has 12 divisors (see below), whose sum is σ = 33480. Its totient is φ = 10720.

The previous prime is 20173. The next prime is 20177. The reversal of 20175 is 57102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20173) and next prime (20177).

It is not a de Polignac number, because 20175 - 2¹ = 20173 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20173) 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, 60 + ... + 209.

It is an arithmetic number, because the mean of its divisors is an integer number (2790).

2²⁰¹⁷⁵ is an apocalyptic number.

20175 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20175 is a deficient number, since it is larger than the sum of its proper divisors (13305).

20175 is a wasteful number, since it uses less digits than its factorization.

20175 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 20175 is about 142.0387271134. The cubic root of 20175 is about 27.2231168818.

Adding to 20175 its reverse (57102), we get a palindrome (77277).

It can be divided in two parts, 201 and 75, that added together give a triangular number (276 = T₂₃).

The spelling of 20175 in words is "twenty thousand, one hundred seventy-five".