201971 has 16 divisors (see below), whose sum is σ = 261888. Its totient is φ = 151200.

The previous prime is 201961. The next prime is 201973. The reversal of 201971 is 179102.

It is not a de Polignac number, because 201971 - 2⁶ = 201907 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201973) 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, 3281 + ... + 3341.

It is an arithmetic number, because the mean of its divisors is an integer number (16368).

2²⁰¹⁹⁷¹ is an apocalyptic number.

201971 is a deficient number, since it is larger than the sum of its proper divisors (59917).

201971 is a wasteful number, since it uses less digits than its factorization.

201971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122.

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 201971 is about 449.4118378503. The cubic root of 201971 is about 58.6718350876.

It can be divided in two parts, 20 and 1971, that added together give a palindrome (1991).

The spelling of 201971 in words is "two hundred one thousand, nine hundred seventy-one".