85271220 has 36 divisors (see below), whose sum is σ = 258656580. Its totient is φ = 22738944.

The previous prime is 85271209. The next prime is 85271237. The reversal of 85271220 is 2217258.

It can be written as a sum of positive squares in 2 ways, for example, as 9998244 + 75272976 = 3162^2 + 8676^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236685 + ... + 237044.

It is an arithmetic number, because the mean of its divisors is an integer number (7184905).

Almost surely, 2^85271220 is an apocalyptic number.

It is an amenable number.

85271220 is an abundant number, since it is smaller than the sum of its proper divisors (173385360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85271220 is a wasteful number, since it uses less digits than its factorization.

85271220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473744 (or 473739 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 85271220 is about 9234.2417122360. The cubic root of 85271220 is about 440.1501209516.

Adding to 85271220 its reverse (2217258), we get a palindrome (87488478).

It can be divided in two parts, 85271 and 220, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 85271220 in words is "eighty-five million, two hundred seventy-one thousand, two hundred twenty".