86007075 has 96 divisors (see below), whose sum is σ = 181274112. Its totient is φ = 34944000.

The previous prime is 86007041. The next prime is 86007083. The reversal of 86007075 is 57070068.

It is a Cunningham number, because it is equal to 9274²-1.

It is not a de Polignac number, because 86007075 - 2¹⁴ = 85990691 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 305935 + ... + 306215.

It is an arithmetic number, because the mean of its divisors is an integer number (1888272).

Almost surely, 2^86007075 is an apocalyptic number.

86007075 is an abundant number, since it is smaller than the sum of its proper divisors (95267037).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86007075 is a wasteful number, since it uses less digits than its factorization.

86007075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 86007075 is about 9273.9999460858. Note that the first 4 decimals coincide. The cubic root of 86007075 is about 441.4126002088.

The spelling of 86007075 in words is "eighty-six million, seven thousand, seventy-five".