200971 has 2 divisors, whose sum is σ = 200972. Its totient is φ = 200970.

The previous prime is 200929. The next prime is 200983. The reversal of 200971 is 179002.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 200971 - 2⁷ = 200843 is a prime.

It is not a weakly prime, because it can be changed into another prime (200171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100485 + 100486.

It is an arithmetic number, because the mean of its divisors is an integer number (100486).

2²⁰⁰⁹⁷¹ is an apocalyptic number.

200971 is a deficient number, since it is larger than the sum of its proper divisors (1).

200971 is an equidigital number, since it uses as much as digits as its factorization.

200971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 200971 is about 448.2978920316. The cubic root of 200971 is about 58.5748427233.

Adding to 200971 its reverse (179002), we get a palindrome (379973).

It can be divided in two parts, 2009 and 71, that added together give a triangular number (2080 = T₆₄).

The spelling of 200971 in words is "two hundred thousand, nine hundred seventy-one".