20225 has 6 divisors (see below), whose sum is σ = 25110. Its totient is φ = 16160.

The previous prime is 20219. The next prime is 20231. The reversal of 20225 is 52202.

It is an interprime number because it is at equal distance from previous prime (20219) and next prime (20231).

It can be written as a sum of positive squares in 3 ways, for example, as 4096 + 16129 = 64^2 + 127^2 .

It is not a de Polignac number, because 20225 - 2⁶ = 20161 is a prime.

It is a plaindrome in base 6.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 380 + ... + 429.

It is an arithmetic number, because the mean of its divisors is an integer number (4185).

It is a Proth number, since it is equal to 79 ⋅ 2⁸ + 1 and 79 < 2⁸.

2²⁰²²⁵ is an apocalyptic number.

20225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20225 is a deficient number, since it is larger than the sum of its proper divisors (4885).

20225 is an equidigital number, since it uses as much as digits as its factorization.

20225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 20225 is about 142.2146265333. The cubic root of 20225 is about 27.2455874796.

Adding to 20225 its reverse (52202), we get a palindrome (72427).

It can be divided in two parts, 202 and 25, that multiplied together give a triangular number (5050 = T₁₀₀).

The spelling of 20225 in words is "twenty thousand, two hundred twenty-five".