492205 has 20 divisors (see below), whose sum is σ = 705852. Its totient is φ = 329280.

The previous prime is 492113. The next prime is 492227. The reversal of 492205 is 502294.

492205 = T₁₃₄ + T₁₃₅ + ... + T₁₇₄.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 86436 + 405769 = 294^2 + 637^2 .

It is not a de Polignac number, because 492205 - 2⁷ = 492077 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11985 + ... + 12025.

492205 is a Friedman number, since it can be written as 205*(9-2)^4, using all its digits and the basic arithmetic operations.

2⁴⁹²²⁰⁵ is an apocalyptic number.

It is an amenable number.

492205 is a deficient number, since it is larger than the sum of its proper divisors (213647).

492205 is an frugal number, since it uses more digits than its factorization.

492205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 492205 is about 701.5732321005. The cubic root of 492205 is about 78.9554307166.

Adding to 492205 its reverse (502294), we get a palindrome (994499).

The spelling of 492205 in words is "four hundred ninety-two thousand, two hundred five".