82167261 has 32 divisors (see below), whose sum is σ = 122411520. Its totient is φ = 48609600.

The previous prime is 82167223. The next prime is 82167271. The reversal of 82167261 is 16276128.

It is not a de Polignac number, because 82167261 - 2¹⁰ = 82166237 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82167271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358695 + ... + 358923.

It is an arithmetic number, because the mean of its divisors is an integer number (3825360).

Almost surely, 2^82167261 is an apocalyptic number.

It is an amenable number.

82167261 is a deficient number, since it is larger than the sum of its proper divisors (40244259).

82167261 is a wasteful number, since it uses less digits than its factorization.

82167261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457.

The product of its digits is 8064, while the sum is 33.

The square root of 82167261 is about 9064.6158771346. The cubic root of 82167261 is about 434.7433391471.

It can be divided in two parts, 82167 and 261, that added together give a palindrome (82428).

The spelling of 82167261 in words is "eighty-two million, one hundred sixty-seven thousand, two hundred sixty-one".