85966958 has 32 divisors (see below), whose sum is σ = 162390528. Its totient is φ = 33156000.

The previous prime is 85966957. The next prime is 85966961.

85966958 is nontrivially palindromic in base 10.

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, 12791 + ... + 18317.

It is an arithmetic number, because the mean of its divisors is an integer number (5074704).

Almost surely, 2^85966958 is an apocalyptic number.

85966958 is a deficient number, since it is larger than the sum of its proper divisors (76423570).

85966958 is a wasteful number, since it uses less digits than its factorization.

85966958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5648.

The product of its digits is 4665600, while the sum is 56.

The square root of 85966958 is about 9271.8368190990. The cubic root of 85966958 is about 441.3439589440.

The spelling of 85966958 in words is "eighty-five million, nine hundred sixty-six thousand, nine hundred fifty-eight".