42894585 has 24 divisors (see below), whose sum is σ = 74660040. Its totient is φ = 22781952.

The previous prime is 42894559. The next prime is 42894611. The reversal of 42894585 is 58549824.

42894585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42894559) and next prime (42894611).

It can be written as a sum of positive squares in 4 ways, for example, as 10949481 + 31945104 = 3309^2 + 5652^2 .

It is not a de Polignac number, because 42894585 - 2⁸ = 42894329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 42894585.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9711 + ... + 13419.

It is an arithmetic number, because the mean of its divisors is an integer number (3110835).

Almost surely, 2^42894585 is an apocalyptic number.

42894585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42894585 is a deficient number, since it is larger than the sum of its proper divisors (31765455).

42894585 is a wasteful number, since it uses less digits than its factorization.

42894585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977 (or 3974 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 42894585 is about 6549.3957736573. The cubic root of 42894585 is about 350.0532844045.

The spelling of 42894585 in words is "forty-two million, eight hundred ninety-four thousand, five hundred eighty-five".