85312001 has 8 divisors (see below), whose sum is σ = 90443304. Its totient is φ = 80193280.

The previous prime is 85311943. The next prime is 85312013. The reversal of 85312001 is 10021358.

It can be written as a sum of positive squares in 4 ways, for example, as 57760000 + 27552001 = 7600^2 + 5249^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 85312001 - 2²² = 81117697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85312061) 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, 13331 + ... + 18663.

It is an arithmetic number, because the mean of its divisors is an integer number (11305413).

Almost surely, 2^85312001 is an apocalyptic number.

85312001 is the 5333-rd octagonal number.

It is an amenable number.

85312001 is a deficient number, since it is larger than the sum of its proper divisors (5131303).

85312001 is a wasteful number, since it uses less digits than its factorization.

85312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6291.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 85312001 is about 9236.4495884512. The cubic root of 85312001 is about 440.2202771010.

Adding to 85312001 its reverse (10021358), we get a palindrome (95333359).

The spelling of 85312001 in words is "eighty-five million, three hundred twelve thousand, one".