82164567 has 8 divisors (see below), whose sum is σ = 109606896. Its totient is φ = 54749312.

The previous prime is 82164479. The next prime is 82164581. The reversal of 82164567 is 76546128.

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

It is a cyclic number.

It is not a de Polignac number, because 82164567 - 2¹² = 82160471 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82164367) 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 7 ways as a sum of consecutive naturals, for example, 1903 + ... + 12959.

It is an arithmetic number, because the mean of its divisors is an integer number (13700862).

Almost surely, 2^82164567 is an apocalyptic number.

82164567 is a deficient number, since it is larger than the sum of its proper divisors (27442329).

82164567 is a wasteful number, since it uses less digits than its factorization.

82164567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13537.

The product of its digits is 80640, while the sum is 39.

The square root of 82164567 is about 9064.4672761283. The cubic root of 82164567 is about 434.7385878169.

The spelling of 82164567 in words is "eighty-two million, one hundred sixty-four thousand, five hundred sixty-seven".