201205 has 4 divisors (see below), whose sum is σ = 241452. Its totient is φ = 160960.

The previous prime is 201203. The next prime is 201209. The reversal of 201205 is 502102.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 502102 = 2 ⋅251051.

It can be written as a sum of positive squares in 2 ways, for example, as 39601 + 161604 = 199^2 + 402^2 .

It is not a de Polignac number, because 201205 - 2¹ = 201203 is a prime.

It is a Duffinian number.

201205 is a lucky number.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 201191 and 201200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201203) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20116 + ... + 20125.

It is an arithmetic number, because the mean of its divisors is an integer number (60363).

2²⁰¹²⁰⁵ is an apocalyptic number.

It is an amenable number.

201205 is a deficient number, since it is larger than the sum of its proper divisors (40247).

201205 is an equidigital number, since it uses as much as digits as its factorization.

201205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40246.

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 201205 is about 448.5588032800. The cubic root of 201205 is about 58.5975677216.

Adding to 201205 its reverse (502102), we get a palindrome (703307).

It can be divided in two parts, 201 and 205, that added together give a triangular number (406 = T₂₈).

The spelling of 201205 in words is "two hundred one thousand, two hundred five".