82148985 has 40 divisors (see below), whose sum is σ = 153679680. Its totient is φ = 41903136.

The previous prime is 82148971. The next prime is 82148999. The reversal of 82148985 is 58984128.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82148971) and next prime (82148999).

It is not a de Polignac number, because 82148985 - 2¹⁷ = 82017913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 82148985.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 4906 + ... + 13724.

It is an arithmetic number, because the mean of its divisors is an integer number (3841992).

Almost surely, 2^82148985 is an apocalyptic number.

It is an amenable number.

82148985 is a deficient number, since it is larger than the sum of its proper divisors (71530695).

82148985 is a wasteful number, since it uses less digits than its factorization.

82148985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8859 (or 8850 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 82148985 is about 9063.6077254038. The cubic root of 82148985 is about 434.7111042548.

The spelling of 82148985 in words is "eighty-two million, one hundred forty-eight thousand, nine hundred eighty-five".