85113000 has 288 divisors, whose sum is σ = 336384360. Its totient is φ = 19353600.

The previous prime is 85112983. The next prime is 85113001. The reversal of 85113000 is 31158.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15256836 + 69856164 = 3906^2 + 8358^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (85113001) 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 71 ways as a sum of consecutive naturals, for example, 440904 + ... + 441096.

Almost surely, 2^85113000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168192180).

85113000 is an abundant number, since it is smaller than the sum of its proper divisors (251271360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85113000 is a wasteful number, since it uses less digits than its factorization.

85113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 85113000 is about 9225.6707073253. The cubic root of 85113000 is about 439.8777208418.

Adding to 85113000 its reverse (31158), we get a palindrome (85144158).

It can be divided in two parts, 8511 and 3000, that added together give a palindrome (11511).

The spelling of 85113000 in words is "eighty-five million, one hundred thirteen thousand".