82114167 has 8 divisors (see below), whose sum is σ = 113261040. Its totient is φ = 52855040.

The previous prime is 82114099. The next prime is 82114171. The reversal of 82114167 is 76141128.

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 82114167 - 2¹¹ = 82112119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82114177) 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, 471834 + ... + 472007.

It is an arithmetic number, because the mean of its divisors is an integer number (14157630).

Almost surely, 2^82114167 is an apocalyptic number.

82114167 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

82114167 is a deficient number, since it is larger than the sum of its proper divisors (31146873).

82114167 is a wasteful number, since it uses less digits than its factorization.

82114167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943873.

The product of its digits is 2688, while the sum is 30.

The square root of 82114167 is about 9061.6867635115. The cubic root of 82114167 is about 434.6496796366.

The spelling of 82114167 in words is "eighty-two million, one hundred fourteen thousand, one hundred sixty-seven".