86828301 has 32 divisors (see below), whose sum is σ = 147513600. Its totient is φ = 49446720.

The previous prime is 86828293. The next prime is 86828323. The reversal of 86828301 is 10382868.

It is not a de Polignac number, because 86828301 - 2³ = 86828293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86828351) 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 31 ways as a sum of consecutive naturals, for example, 72931 + ... + 74111.

It is an arithmetic number, because the mean of its divisors is an integer number (4609800).

Almost surely, 2^86828301 is an apocalyptic number.

It is an amenable number.

86828301 is a deficient number, since it is larger than the sum of its proper divisors (60685299).

86828301 is a wasteful number, since it uses less digits than its factorization.

86828301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 86828301 is about 9318.1704749377. The cubic root of 86828301 is about 442.8130734751.

The spelling of 86828301 in words is "eighty-six million, eight hundred twenty-eight thousand, three hundred one".