82167649201 has 45 divisors (see below), whose sum is σ = 95410674345. Its totient is φ = 70756439160.

The previous prime is 82167649171. The next prime is 82167649237. The reversal of 82167649201 is 10294676128.

The square root of 82167649201 is 286649.

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

It is not a de Polignac number, because 82167649201 - 2⁷ = 82167649073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82167649241) 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 44 ways as a sum of consecutive naturals, for example, 797744116 + ... + 797744218.

Almost surely, 2^82167649201 is an apocalyptic number.

82167649201 is the 286649-th square number.

82167649201 is the 143325-th centered octagonal number.

It is an amenable number.

82167649201 is a deficient number, since it is larger than the sum of its proper divisors (13243025144).

82167649201 is an frugal number, since it uses more digits than its factorization.

82167649201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 82167649201 in words is "eighty-two billion, one hundred sixty-seven million, six hundred forty-nine thousand, two hundred one".