85753000 has 64 divisors (see below), whose sum is σ = 207651600. Its totient is φ = 33107200.

The previous prime is 85752983. The next prime is 85753001. The reversal of 85753000 is 35758.

It can be written as a sum of positive squares in 8 ways, for example, as 42436 + 85710564 = 206^2 + 9258^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85753000.

It is not an unprimeable number, because it can be changed into a prime (85753001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27522 + ... + 30478.

Almost surely, 2^85753000 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 85753000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103825800).

85753000 is an abundant number, since it is smaller than the sum of its proper divisors (121898600).

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

85753000 is a wasteful number, since it uses less digits than its factorization.

85753000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 85753000 is about 9260.2915720835. The cubic root of 85753000 is about 440.9775099381.

Adding to 85753000 its reverse (35758), we get a palindrome (85788758).

The spelling of 85753000 in words is "eighty-five million, seven hundred fifty-three thousand".