85145346 has 96 divisors (see below), whose sum is σ = 228271680. Its totient is φ = 22550400.

The previous prime is 85145311. The next prime is 85145351. The reversal of 85145346 is 64354158.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 85145346.

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 47 ways as a sum of consecutive naturals, for example, 48036 + ... + 49776.

It is an arithmetic number, because the mean of its divisors is an integer number (2377830).

Almost surely, 2^85145346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85145346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114135840).

85145346 is an abundant number, since it is smaller than the sum of its proper divisors (143126334).

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

85145346 is a wasteful number, since it uses less digits than its factorization.

85145346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1789 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 85145346 is about 9227.4235840781. The cubic root of 85145346 is about 439.9334369006.

It can be divided in two parts, 85145 and 346, that added together give a triangular number (85491 = T₄₁₃).

The spelling of 85145346 in words is "eighty-five million, one hundred forty-five thousand, three hundred forty-six".