82148301 has 12 divisors (see below), whose sum is σ = 125638812. Its totient is φ = 51543936.

The previous prime is 82148293. The next prime is 82148317. The reversal of 82148301 is 10384128.

It can be written as a sum of positive squares in 2 ways, for example, as 72692676 + 9455625 = 8526^2 + 3075^2 .

It is not a de Polignac number, because 82148301 - 2³ = 82148293 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82148321) 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 11 ways as a sum of consecutive naturals, for example, 268306 + ... + 268611.

It is an arithmetic number, because the mean of its divisors is an integer number (10469901).

Almost surely, 2^82148301 is an apocalyptic number.

It is an amenable number.

82148301 is a deficient number, since it is larger than the sum of its proper divisors (43490511).

82148301 is a wasteful number, since it uses less digits than its factorization.

82148301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536940 (or 536937 counting only the distinct ones).

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

The square root of 82148301 is about 9063.5699920065. The cubic root of 82148301 is about 434.7098977346.

The spelling of 82148301 in words is "eighty-two million, one hundred forty-eight thousand, three hundred one".