86438107 has 24 divisors (see below), whose sum is σ = 103396176. Its totient is φ = 72027648.

The previous prime is 86438083. The next prime is 86438113. The reversal of 86438107 is 70183468.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-86438107 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86438147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370863 + ... + 371095.

It is an arithmetic number, because the mean of its divisors is an integer number (4308174).

Almost surely, 2^86438107 is an apocalyptic number.

86438107 is a deficient number, since it is larger than the sum of its proper divisors (16958069).

86438107 is a wasteful number, since it uses less digits than its factorization.

86438107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 86438107 is about 9297.2096351540. The cubic root of 86438107 is about 442.1487644452.

The spelling of 86438107 in words is "eighty-six million, four hundred thirty-eight thousand, one hundred seven".