8582742 has 72 divisors (see below), whose sum is σ = 22301136. Its totient is φ = 2376864.

The previous prime is 8582741. The next prime is 8582747. The reversal of 8582742 is 2472858.

It is a happy number.

8582742 is a `hidden beast` number, since 8 + 582 + 74 + 2 = 666.

8582742 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

8582742 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 8582697 and 8582706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8582741) 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, 32503 + ... + 32765.

It is an arithmetic number, because the mean of its divisors is an integer number (309738).

Almost surely, 2^8582742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8582742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11150568).

8582742 is an abundant number, since it is smaller than the sum of its proper divisors (13718394).

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

8582742 is a wasteful number, since it uses less digits than its factorization.

8582742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 312 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 8582742 is about 2929.6317174689. The cubic root of 8582742 is about 204.7428224528.

It can be divided in two parts, 858 and 2742, that added together give a square (3600 = 60²).

The spelling of 8582742 in words is "eight million, five hundred eighty-two thousand, seven hundred forty-two".