86607 has 6 divisors (see below), whose sum is σ = 125112. Its totient is φ = 57732.

The previous prime is 86599. The next prime is 86627. The reversal of 86607 is 70668.

It is not a de Polignac number, because 86607 - 2³ = 86599 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86607.

It is not an unprimeable number, because it can be changed into a prime (86627) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4803 + ... + 4820.

It is an arithmetic number, because the mean of its divisors is an integer number (20852).

2⁸⁶⁶⁰⁷ is an apocalyptic number.

86607 is a deficient number, since it is larger than the sum of its proper divisors (38505).

86607 is a wasteful number, since it uses less digits than its factorization.

86607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9629 (or 9626 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 86607 is about 294.2906726351. The cubic root of 86607 is about 44.2436551278.

The spelling of 86607 in words is "eighty-six thousand, six hundred seven".