85188601 has 8 divisors (see below), whose sum is σ = 86270184. Its totient is φ = 84111360.

The previous prime is 85188599. The next prime is 85188617. The reversal of 85188601 is 10688158.

It can be written as a sum of positive squares in 4 ways, for example, as 12257001 + 72931600 = 3501^2 + 8540^2 .

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 85188601 - 2¹ = 85188599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85188641) 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, 56781 + ... + 58261.

It is an arithmetic number, because the mean of its divisors is an integer number (10783773).

Almost surely, 2^85188601 is an apocalyptic number.

It is an amenable number.

85188601 is a deficient number, since it is larger than the sum of its proper divisors (1081583).

85188601 is a wasteful number, since it uses less digits than its factorization.

85188601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171.

The product of its (nonzero) digits is 15360, while the sum is 37.

The square root of 85188601 is about 9229.7671151552. The cubic root of 85188601 is about 440.0079216893.

The spelling of 85188601 in words is "eighty-five million, one hundred eighty-eight thousand, six hundred one".