205007 has 4 divisors (see below), whose sum is σ = 223656. Its totient is φ = 186360.

The previous prime is 204983. The next prime is 205019. The reversal of 205007 is 700502.

205007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 205007 - 2⁸ = 204751 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 204982 and 205000.

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 205007.

It is not an unprimeable number, because it can be changed into a prime (205097) 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, 9308 + ... + 9329.

It is an arithmetic number, because the mean of its divisors is an integer number (55914).

2²⁰⁵⁰⁰⁷ is an apocalyptic number.

205007 is a deficient number, since it is larger than the sum of its proper divisors (18649).

205007 is a wasteful number, since it uses less digits than its factorization.

205007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18648.

The product of its (nonzero) digits is 70, while the sum is 14.

The square root of 205007 is about 452.7769870477. The cubic root of 205007 is about 58.9643565234.

Adding to 205007 its reverse (700502), we get a palindrome (905509).

The spelling of 205007 in words is "two hundred five thousand, seven".