1005642 has 32 divisors (see below), whose sum is σ = 2439360. Its totient is φ = 304560.

The previous prime is 1005637. The next prime is 1005643. The reversal of 1005642 is 2465001.

It is a happy number.

1005642 is a `hidden beast` number, since 100 + 564 + 2 = 666.

1005642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1005642² = 2022631664328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1005643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253 + ... + 1440.

It is an arithmetic number, because the mean of its divisors is an integer number (76230).

2^1005642 is an apocalyptic number.

1005642 is an abundant number, since it is smaller than the sum of its proper divisors (1433718).

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

1005642 is a wasteful number, since it uses less digits than its factorization.

1005642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1005642 is about 1002.8170321649. The cubic root of 1005642 is about 100.1877140804.

The spelling of 1005642 in words is "one million, five thousand, six hundred forty-two".