85946 has 12 divisors (see below), whose sum is σ = 150138. Its totient is φ = 36792.

The previous prime is 85933. The next prime is 85991. The reversal of 85946 is 64958.

It can be written as a sum of positive squares in only one way, i.e., 60025 + 25921 = 245^2 + 161^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85946.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 341 + ... + 536.

2⁸⁵⁹⁴⁶ is an apocalyptic number.

85946 is a deficient number, since it is larger than the sum of its proper divisors (64192).

85946 is a wasteful number, since it uses less digits than its factorization.

85946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 886 counting only the distinct ones).

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

The square root of 85946 is about 293.1654822792. The cubic root of 85946 is about 44.1308090750.

The spelling of 85946 in words is "eighty-five thousand, nine hundred forty-six".