201584271 has 16 divisors (see below), whose sum is σ = 308957184. Its totient is φ = 114523104.

The previous prime is 201584263. The next prime is 201584309. The reversal of 201584271 is 172485102.

It is not a de Polignac number, because 201584271 - 2³ = 201584263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201584231) 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, 24111 + ... + 31376.

It is an arithmetic number, because the mean of its divisors is an integer number (19309824).

Almost surely, 2^201584271 is an apocalyptic number.

201584271 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201584271 is a deficient number, since it is larger than the sum of its proper divisors (107372913).

201584271 is a wasteful number, since it uses less digits than its factorization.

201584271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55670.

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 201584271 is about 14198.0375756652. The cubic root of 201584271 is about 586.3436337518.

The spelling of 201584271 in words is "two hundred one million, five hundred eighty-four thousand, two hundred seventy-one".