202205 has 8 divisors (see below), whose sum is σ = 249432. Its totient is φ = 157248.

The previous prime is 202201. The next prime is 202219. The reversal of 202205 is 502202.

It can be written as a sum of positive squares in 4 ways, for example, as 120409 + 81796 = 347^2 + 286^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 202205 - 2² = 202201 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 362 + ... + 731.

It is an arithmetic number, because the mean of its divisors is an integer number (31179).

2²⁰²²⁰⁵ is an apocalyptic number.

It is an amenable number.

202205 is a deficient number, since it is larger than the sum of its proper divisors (47227).

202205 is a wasteful number, since it uses less digits than its factorization.

202205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135.

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

The square root of 202205 is about 449.6721027593. The cubic root of 202205 is about 58.6944850566.

Adding to 202205 its reverse (502202), we get a palindrome (704407).

It can be divided in two parts, 20 and 2205, that multiplied together give a square (44100 = 210²).

The spelling of 202205 in words is "two hundred two thousand, two hundred five".