247205 has 12 divisors (see below), whose sum is σ = 345420. Its totient is φ = 169344.

The previous prime is 247201. The next prime is 247223. The reversal of 247205 is 502742.

247205 = T₁₇₄ + T₁₇₅ + ... + T₁₈₈.

It can be written as a sum of positive squares in 2 ways, for example, as 82369 + 164836 = 287^2 + 406^2 .

It is not a de Polignac number, because 247205 - 2² = 247201 is a prime.

It is a super-2 number, since 2×247205² = 122220624050, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 247205.

It is not an unprimeable number, because it can be changed into a prime (247201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260 + ... + 749.

It is an arithmetic number, because the mean of its divisors is an integer number (28785).

2²⁴⁷²⁰⁵ is an apocalyptic number.

It is an amenable number.

247205 is a deficient number, since it is larger than the sum of its proper divisors (98215).

247205 is a wasteful number, since it uses less digits than its factorization.

247205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 247205 is about 497.1971439982. The cubic root of 247205 is about 62.7604068389.

Adding to 247205 its reverse (502742), we get a palindrome (749947).

The spelling of 247205 in words is "two hundred forty-seven thousand, two hundred five".