85145643 has 36 divisors (see below), whose sum is σ = 138555144. Its totient is φ = 50318400.

The previous prime is 85145611. The next prime is 85145659. The reversal of 85145643 is 34654158.

It is a happy number.

85145643 is a `hidden beast` number, since 8 + 5 + 1 + 4 + 5 + 643 = 666.

It is not a de Polignac number, because 85145643 - 2⁵ = 85145611 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85145598 and 85145607.

It is not an unprimeable number, because it can be changed into a prime (85145663) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43696 + ... + 45602.

It is an arithmetic number, because the mean of its divisors is an integer number (3848754).

Almost surely, 2^85145643 is an apocalyptic number.

85145643 is a deficient number, since it is larger than the sum of its proper divisors (53409501).

85145643 is a wasteful number, since it uses less digits than its factorization.

85145643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1962 counting only the distinct ones).

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

The square root of 85145643 is about 9227.4396773970. The cubic root of 85145643 is about 439.9339484183.

The spelling of 85145643 in words is "eighty-five million, one hundred forty-five thousand, six hundred forty-three".