86918409 has 12 divisors (see below), whose sum is σ = 125652852. Its totient is φ = 57897600.

The previous prime is 86918393. The next prime is 86918411. The reversal of 86918409 is 90481968.

It can be written as a sum of positive squares in 2 ways, for example, as 61968384 + 24950025 = 7872^2 + 4995^2 .

It is not a de Polignac number, because 86918409 - 2⁴ = 86918393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86918459) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10069 + ... + 16589.

It is an arithmetic number, because the mean of its divisors is an integer number (10471071).

Almost surely, 2^86918409 is an apocalyptic number.

It is an amenable number.

86918409 is a deficient number, since it is larger than the sum of its proper divisors (38734443).

86918409 is a wasteful number, since it uses less digits than its factorization.

86918409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8008 (or 8005 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 86918409 is about 9323.0042904635. The cubic root of 86918409 is about 442.9662002214.

The spelling of 86918409 in words is "eighty-six million, nine hundred eighteen thousand, four hundred nine".