85101289 has 12 divisors (see below), whose sum is σ = 106611204. Its totient is φ = 67332384.

The previous prime is 85101271. The next prime is 85101307. The reversal of 85101289 is 98210158.

It is an interprime number because it is at equal distance from previous prime (85101271) and next prime (85101307).

It can be written as a sum of positive squares in 2 ways, for example, as 37945600 + 47155689 = 6160^2 + 6867^2 .

It is not a de Polignac number, because 85101289 - 2¹³ = 85093097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85101229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66162 + ... + 67435.

It is an arithmetic number, because the mean of its divisors is an integer number (8884267).

Almost surely, 2^85101289 is an apocalyptic number.

It is an amenable number.

85101289 is a deficient number, since it is larger than the sum of its proper divisors (21509915).

85101289 is a wasteful number, since it uses less digits than its factorization.

85101289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133624 (or 133617 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

The square root of 85101289 is about 9225.0359890897. The cubic root of 85101289 is about 439.8575451371.

The spelling of 85101289 in words is "eighty-five million, one hundred one thousand, two hundred eighty-nine".