85045000 has 80 divisors (see below), whose sum is σ = 202856940. Its totient is φ = 33408000.

The previous prime is 85044979. The next prime is 85045039. The reversal of 85045000 is 54058.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 13439556 + 71605444 = 3666^2 + 8462^2 .

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 364884 + ... + 365116.

Almost surely, 2^85045000 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 85045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101428470).

85045000 is an abundant number, since it is smaller than the sum of its proper divisors (117811940).

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

85045000 is a wasteful number, since it uses less digits than its factorization.

85045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 85045000 is about 9221.9846020257. The cubic root of 85045000 is about 439.7605446392.

Adding to 85045000 its reverse (54058), we get a palindrome (85099058).

The spelling of 85045000 in words is "eighty-five million, forty-five thousand".