85965952 has 16 divisors (see below), whose sum is σ = 171260550. Its totient is φ = 42982912.

The previous prime is 85965941. The next prime is 85965953. The reversal of 85965952 is 25956958.

It can be written as a sum of positive squares in only one way, i.e., 70157376 + 15808576 = 8376^2 + 3976^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a junction number, because it is equal to n+sod(n) for n = 85965896 and 85965905.

It is not an unprimeable number, because it can be changed into a prime (85965953) 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 as a sum of consecutive naturals, namely, 335677 + ... + 335932.

Almost surely, 2^85965952 is an apocalyptic number.

It is an amenable number.

85965952 is a deficient number, since it is larger than the sum of its proper divisors (85294598).

85965952 is an equidigital number, since it uses as much as digits as its factorization.

85965952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671623 (or 671611 counting only the distinct ones).

The product of its digits is 972000, while the sum is 49.

The square root of 85965952 is about 9271.7825686326. The cubic root of 85965952 is about 441.3422373765.

The spelling of 85965952 in words is "eighty-five million, nine hundred sixty-five thousand, nine hundred fifty-two".