82064151 has 48 divisors (see below), whose sum is σ = 139255200. Its totient is φ = 47471616.

The previous prime is 82064123. The next prime is 82064159. The reversal of 82064151 is 15146028.

It is not a de Polignac number, because 82064151 - 2⁵ = 82064119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82064159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101035 + ... + 101843.

It is an arithmetic number, because the mean of its divisors is an integer number (2901150).

Almost surely, 2^82064151 is an apocalyptic number.

82064151 is a deficient number, since it is larger than the sum of its proper divisors (57191049).

82064151 is a wasteful number, since it uses less digits than its factorization.

82064151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 82064151 is about 9058.9265920417. The cubic root of 82064151 is about 434.5614128794.

It can be divided in two parts, 82064 and 151, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 82064151 in words is "eighty-two million, sixty-four thousand, one hundred fifty-one".