205010971 has 16 divisors (see below), whose sum is σ = 229667328. Its totient is φ = 181389600.

The previous prime is 205010963. The next prime is 205010977. The reversal of 205010971 is 179010502.

It is a cyclic number.

It is not a de Polignac number, because 205010971 - 2³ = 205010963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205010977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173001 + ... + 174181.

It is an arithmetic number, because the mean of its divisors is an integer number (14354208).

Almost surely, 2^205010971 is an apocalyptic number.

205010971 is a deficient number, since it is larger than the sum of its proper divisors (24656357).

205010971 is a wasteful number, since it uses less digits than its factorization.

205010971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602.

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 205010971 is about 14318.2041820893. The cubic root of 205010971 is about 589.6473723556.

The spelling of 205010971 in words is "two hundred five million, ten thousand, nine hundred seventy-one".