82885834201 has 9 divisors (see below), whose sum is σ = 84160986399. Its totient is φ = 81629730864.

The previous prime is 82885834181. The next prime is 82885834217. The reversal of 82885834201 is 10243858828.

The square root of 82885834201 is 287899.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 44400811225 + 38485022976 = 210715^2 + 196176^2 .

It is not a de Polignac number, because 82885834201 - 2¹¹ = 82885832153 is a prime.

It is a super-2 number, since 2×82885834201² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82885834231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19287085 + ... + 19291381.

It is an arithmetic number, because the mean of its divisors is an integer number (9351220711).

Almost surely, 2^82885834201 is an apocalyptic number.

82885834201 is the 287899-th square number.

82885834201 is the 143950-th centered octagonal number.

It is an amenable number.

82885834201 is a deficient number, since it is larger than the sum of its proper divisors (1275152198).

82885834201 is an frugal number, since it uses more digits than its factorization.

82885834201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8728 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 49.

Multiplying 82885834201 by its sum of digits (49), we get a square (4061405875849 = 2015293²).

The spelling of 82885834201 in words is "eighty-two billion, eight hundred eighty-five million, eight hundred thirty-four thousand, two hundred one".