85965966 has 12 divisors (see below), whose sum is σ = 186259632. Its totient is φ = 28655316.

The previous prime is 85965953. The next prime is 85965977. The reversal of 85965966 is 66956958.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2387926 + ... + 2387961.

It is an arithmetic number, because the mean of its divisors is an integer number (15521636).

Almost surely, 2^85965966 is an apocalyptic number.

85965966 is an abundant number, since it is smaller than the sum of its proper divisors (100293666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85965966 is a wasteful number, since it uses less digits than its factorization.

85965966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4775895 (or 4775892 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The square root of 85965966 is about 9271.7833236115. The cubic root of 85965966 is about 441.3422613348.

The spelling of 85965966 in words is "eighty-five million, nine hundred sixty-five thousand, nine hundred sixty-six".