82828201 has 9 divisors (see below), whose sum is σ = 87599901. Its totient is φ = 78305004.

The previous prime is 82828183. The next prime is 82828217. The reversal of 82828201 is 10282828.

The square root of 82828201 is 9101.

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

It is not a de Polignac number, because 82828201 - 2¹¹ = 82826153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82828231) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 172680 + ... + 173158.

Almost surely, 2^82828201 is an apocalyptic number.

82828201 is the 9101-st square number.

82828201 is the 4551-st centered octagonal number.

It is an amenable number.

82828201 is a deficient number, since it is larger than the sum of its proper divisors (4771700).

82828201 is an frugal number, since it uses more digits than its factorization.

82828201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The cubic root of 82828201 is about 435.9058956486.

Multiplying 82828201 by its product of nonzero digits (4096), we get a square (339264311296 = 582464²).

The spelling of 82828201 in words is "eighty-two million, eight hundred twenty-eight thousand, two hundred one".