86918107 has 16 divisors (see below), whose sum is σ = 90842400. Its totient is φ = 83116800.

The previous prime is 86918099. The next prime is 86918113. The reversal of 86918107 is 70181968.

It is a cyclic number.

It is not a de Polignac number, because 86918107 - 2³ = 86918099 is a prime.

It is a super-3 number, since 3×86918107³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 86918107.

It is not an unprimeable number, because it can be changed into a prime (86910107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583269 + ... + 583417.

It is an arithmetic number, because the mean of its divisors is an integer number (5677650).

Almost surely, 2^86918107 is an apocalyptic number.

86918107 is a deficient number, since it is larger than the sum of its proper divisors (3924293).

86918107 is a wasteful number, since it uses less digits than its factorization.

86918107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414.

The product of its (nonzero) digits is 24192, while the sum is 40.

The square root of 86918107 is about 9322.9880939536. The cubic root of 86918107 is about 442.9656871888.

It can be divided in two parts, 86918 and 107, that added together give a square (87025 = 295²).

The spelling of 86918107 in words is "eighty-six million, nine hundred eighteen thousand, one hundred seven".