82146339 has 16 divisors (see below), whose sum is σ = 132762240. Its totient is φ = 49785480.

The previous prime is 82146331. The next prime is 82146347. The reversal of 82146339 is 93364128.

82146339 is a `hidden beast` number, since 8 + 2 + 14 + 633 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (82146331) and next prime (82146347).

It is not a de Polignac number, because 82146339 - 2³ = 82146331 is a prime.

It is a super-2 number, since 2×82146339² = 13496042022205842, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82146331) 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 15 ways as a sum of consecutive naturals, for example, 137997 + ... + 138590.

It is an arithmetic number, because the mean of its divisors is an integer number (8297640).

Almost surely, 2^82146339 is an apocalyptic number.

82146339 is a deficient number, since it is larger than the sum of its proper divisors (50615901).

82146339 is a wasteful number, since it uses less digits than its factorization.

82146339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276607 (or 276601 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 82146339 is about 9063.4617558635. The cubic root of 82146339 is about 434.7064368896.

The spelling of 82146339 in words is "eighty-two million, one hundred forty-six thousand, three hundred thirty-nine".