202005 has 18 divisors (see below), whose sum is σ = 355446. Its totient is φ = 106128.

The previous prime is 202001. The next prime is 202021. The reversal of 202005 is 500202.

It can be written as a sum of positive squares in only one way, i.e., 161604 + 40401 = 402^2 + 201^2 .

It is not a de Polignac number, because 202005 - 2² = 202001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202001) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2982 + ... + 3048.

It is an arithmetic number, because the mean of its divisors is an integer number (19747).

2²⁰²⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

202005 is a deficient number, since it is larger than the sum of its proper divisors (153441).

202005 is an equidigital number, since it uses as much as digits as its factorization.

202005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 202005 is about 449.4496634775. The cubic root of 202005 is about 58.6751271946.

Multiplying 202005 by its product of nonzero digits (20), we get a square (4040100 = 2010²).

Adding to 202005 its reverse (500202), we get a palindrome (702207).

It can be divided in two parts, 20 and 2005, that added together give a square (2025 = 45²).

The spelling of 202005 in words is "two hundred two thousand, five".