83201271 has 16 divisors (see below), whose sum is σ = 114457824. Its totient is φ = 53720064.

The previous prime is 83201263. The next prime is 83201273. The reversal of 83201271 is 17210238.

It is not a de Polignac number, because 83201271 - 2³ = 83201263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83201273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24255 + ... + 27471.

It is an arithmetic number, because the mean of its divisors is an integer number (7153614).

Almost surely, 2^83201271 is an apocalyptic number.

83201271 is a deficient number, since it is larger than the sum of its proper divisors (31256553).

83201271 is a wasteful number, since it uses less digits than its factorization.

83201271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 83201271 is about 9121.4730718234. The cubic root of 83201271 is about 436.5593762265.

It can be divided in two parts, 8320 and 1271, that added together give a triangular number (9591 = T₁₃₈).

The spelling of 83201271 in words is "eighty-three million, two hundred one thousand, two hundred seventy-one".