82167241 has 8 divisors (see below), whose sum is σ = 88949000. Its totient is φ = 75451392.

The previous prime is 82167223. The next prime is 82167271. The reversal of 82167241 is 14276128.

It can be written as a sum of positive squares in 4 ways, for example, as 355216 + 81812025 = 596^2 + 9045^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82167241 is a prime.

It is a Duffinian 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 7 ways as a sum of consecutive naturals, for example, 13866 + ... + 18883.

It is an arithmetic number, because the mean of its divisors is an integer number (11118625).

Almost surely, 2^82167241 is an apocalyptic number.

It is an amenable number.

82167241 is a deficient number, since it is larger than the sum of its proper divisors (6781759).

82167241 is a wasteful number, since it uses less digits than its factorization.

82167241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32955.

The product of its digits is 5376, while the sum is 31.

The square root of 82167241 is about 9064.6147739438. The cubic root of 82167241 is about 434.7433038740.

The spelling of 82167241 in words is "eighty-two million, one hundred sixty-seven thousand, two hundred forty-one".