85964901 has 8 divisors (see below), whose sum is σ = 125039904. Its totient is φ = 52099920.

The previous prime is 85964867. The next prime is 85964909. The reversal of 85964901 is 10946958.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 85964901 - 2⁷ = 85964773 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85964909) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1302466 + ... + 1302531.

It is an arithmetic number, because the mean of its divisors is an integer number (15629988).

Almost surely, 2^85964901 is an apocalyptic number.

It is an amenable number.

85964901 is a deficient number, since it is larger than the sum of its proper divisors (39075003).

85964901 is a wasteful number, since it uses less digits than its factorization.

85964901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605011.

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 85964901 is about 9271.7258911165. The cubic root of 85964901 is about 441.3404387862.

The spelling of 85964901 in words is "eighty-five million, nine hundred sixty-four thousand, nine hundred one".