85788001 has 8 divisors (see below), whose sum is σ = 97821864. Its totient is φ = 74530560.

The previous prime is 85787987. The next prime is 85788007. The reversal of 85788001 is 10088758.

It can be written as a sum of positive squares in 4 ways, for example, as 40401 + 85747600 = 201^2 + 9260^2 .

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

It is not a de Polignac number, because 85788001 - 2⁵ = 85787969 is a prime.

It is a super-2 number, since 2×85788001² = 14719162231152002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85788007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193870 + ... + 194311.

It is an arithmetic number, because the mean of its divisors is an integer number (12227733).

Almost surely, 2^85788001 is an apocalyptic number.

It is an amenable number.

85788001 is a deficient number, since it is larger than the sum of its proper divisors (12033863).

85788001 is a wasteful number, since it uses less digits than its factorization.

85788001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388211.

The product of its (nonzero) digits is 17920, while the sum is 37.

The square root of 85788001 is about 9262.1812225847. The cubic root of 85788001 is about 441.0374983326.

The spelling of 85788001 in words is "eighty-five million, seven hundred eighty-eight thousand, one".