82146975 has 48 divisors (see below), whose sum is σ = 151418880. Its totient is φ = 39052800.

The previous prime is 82146971. The next prime is 82146991. The reversal of 82146975 is 57964128.

It is not a de Polignac number, because 82146975 - 2² = 82146971 is a prime.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82146971) 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 47 ways as a sum of consecutive naturals, for example, 22530 + ... + 25920.

It is an arithmetic number, because the mean of its divisors is an integer number (3154560).

Almost surely, 2^82146975 is an apocalyptic number.

82146975 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

82146975 is the 4845-th nonagonal number.

82146975 is a deficient number, since it is larger than the sum of its proper divisors (69271905).

82146975 is a wasteful number, since it uses less digits than its factorization.

82146975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 3435 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 82146975 is about 9063.4968417273. The cubic root of 82146975 is about 434.7075587598.

The spelling of 82146975 in words is "eighty-two million, one hundred forty-six thousand, nine hundred seventy-five".