86945 has 4 divisors (see below), whose sum is σ = 104340. Its totient is φ = 69552.

The previous prime is 86939. The next prime is 86951. The reversal of 86945 is 54968.

86945 = 208² + 209².

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (86939) and next prime (86951).

It can be written as a sum of positive squares in 2 ways, for example, as 43264 + 43681 = 208^2 + 209^2 .

It is a cyclic number.

It is not a de Polignac number, because 86945 - 2⁴ = 86929 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8690 + ... + 8699.

It is an arithmetic number, because the mean of its divisors is an integer number (26085).

2⁸⁶⁹⁴⁵ is an apocalyptic number.

86945 is the 209-th centered square number.

It is an amenable number.

86945 is a deficient number, since it is larger than the sum of its proper divisors (17395).

86945 is a wasteful number, since it uses less digits than its factorization.

86945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17394.

The product of its digits is 8640, while the sum is 32.

The square root of 86945 is about 294.8643756034. The cubic root of 86945 is about 44.3011367919.

The spelling of 86945 in words is "eighty-six thousand, nine hundred forty-five".