205210 has 8 divisors (see below), whose sum is σ = 369396. Its totient is φ = 82080.

The previous prime is 205201. The next prime is 205211. The reversal of 205210 is 12502.

205210 = T₂₈₄ + T₂₈₅ + ... + T₂₈₈.

It is a Cunningham number, because it is equal to 453²+1.

It can be written as a sum of positive squares in 2 ways, for example, as 205209 + 1 = 453^2 + 1^2 .

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

It is a super-2 number, since 2×205210² = 84222288200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10), and also a Moran number because the ratio is a prime number: 20521 = 205210 / (2 + 0 + 5 + 2 + 1 + 0).

It is not an unprimeable number, because it can be changed into a prime (205211) 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, 10251 + ... + 10270.

2²⁰⁵²¹⁰ is an apocalyptic number.

205210 is a deficient number, since it is larger than the sum of its proper divisors (164186).

205210 is a wasteful number, since it uses less digits than its factorization.

205210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20528.

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

The square root of 205210 is about 453.0011037514. The cubic root of 205210 is about 58.9838124700.

Adding to 205210 its reverse (12502), we get a palindrome (217712).

The spelling of 205210 in words is "two hundred five thousand, two hundred ten".