85003945 has 8 divisors (see below), whose sum is σ = 109851336. Its totient is φ = 62772096.

The previous prime is 85003931. The next prime is 85003949. The reversal of 85003945 is 54930058.

It can be written as a sum of positive squares in 4 ways, for example, as 6007401 + 78996544 = 2451^2 + 8888^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85003945 - 2⁷ = 85003817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 85003945.

It is not an unprimeable number, because it can be changed into a prime (85003949) 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 7 ways as a sum of consecutive naturals, for example, 653812 + ... + 653941.

It is an arithmetic number, because the mean of its divisors is an integer number (13731417).

Almost surely, 2^85003945 is an apocalyptic number.

It is an amenable number.

85003945 is a deficient number, since it is larger than the sum of its proper divisors (24847391).

85003945 is a wasteful number, since it uses less digits than its factorization.

85003945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307771.

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 85003945 is about 9219.7584024745. The cubic root of 85003945 is about 439.6897692647.

It can be divided in two parts, 850039 and 45, that added together give a square (850084 = 922²).

The spelling of 85003945 in words is "eighty-five million, three thousand, nine hundred forty-five".