85998965 has 16 divisors (see below), whose sum is σ = 111378288. Its totient is φ = 63369216.

The previous prime is 85998961. The next prime is 85998967. The reversal of 85998965 is 56989958.

It can be written as a sum of positive squares in 8 ways, for example, as 47524 + 85951441 = 218^2 + 9271^2 .

It is a cyclic number.

It is not a de Polignac number, because 85998965 - 2² = 85998961 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85998961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36359 + ... + 38651.

It is an arithmetic number, because the mean of its divisors is an integer number (6961143).

Almost surely, 2^85998965 is an apocalyptic number.

It is an amenable number.

85998965 is a deficient number, since it is larger than the sum of its proper divisors (25379323).

85998965 is a wasteful number, since it uses less digits than its factorization.

85998965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888.

The product of its digits is 6998400, while the sum is 59.

The square root of 85998965 is about 9273.5626918677. The cubic root of 85998965 is about 441.3987255026.

The spelling of 85998965 in words is "eighty-five million, nine hundred ninety-eight thousand, nine hundred sixty-five".