82164114 has 24 divisors (see below), whose sum is σ = 178251840. Its totient is φ = 27352728.

The previous prime is 82164079. The next prime is 82164139. The reversal of 82164114 is 41146128.

It is a happy number.

82164114 is a `hidden beast` number, since 8 + 2 + 1 + 641 + 14 = 666.

It is a super-3 number, since 3×82164114³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14059 + ... + 19025.

It is an arithmetic number, because the mean of its divisors is an integer number (7427160).

Almost surely, 2^82164114 is an apocalyptic number.

82164114 is an abundant number, since it is smaller than the sum of its proper divisors (96087726).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82164114 is a wasteful number, since it uses less digits than its factorization.

82164114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5894 (or 5891 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 82164114 is about 9064.4422884147. The cubic root of 82164114 is about 434.7377888636.

The spelling of 82164114 in words is "eighty-two million, one hundred sixty-four thousand, one hundred fourteen".