85966959 has 16 divisors (see below), whose sum is σ = 123653600. Its totient is φ = 52811136.

The previous prime is 85966957. The next prime is 85966961. The reversal of 85966959 is 95966958.

It is an interprime number because it is at equal distance from previous prime (85966957) and next prime (85966961).

It is not a de Polignac number, because 85966959 - 2¹ = 85966957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85966899 and 85966908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85966957) 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, 26097 + ... + 29205.

It is an arithmetic number, because the mean of its divisors is an integer number (7728350).

Almost surely, 2^85966959 is an apocalyptic number.

85966959 is a deficient number, since it is larger than the sum of its proper divisors (37686641).

85966959 is a wasteful number, since it uses less digits than its factorization.

85966959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834.

The product of its digits is 5248800, while the sum is 57.

The square root of 85966959 is about 9271.8368730258. The cubic root of 85966959 is about 441.3439606553.

Subtracting 85966959 from its reverse (95966958), we obtain a palindrome (9999999).

The spelling of 85966959 in words is "eighty-five million, nine hundred sixty-six thousand, nine hundred fifty-nine".