1005972 has 24 divisors (see below), whose sum is σ = 2560992. Its totient is φ = 304800.

The previous prime is 1005971. The next prime is 1005989. The reversal of 1005972 is 2795001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005971) 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, 3679 + ... + 3942.

It is an arithmetic number, because the mean of its divisors is an integer number (106708).

2^1005972 is an apocalyptic number.

1005972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005972 is an abundant number, since it is smaller than the sum of its proper divisors (1555020).

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

1005972 is a wasteful number, since it uses less digits than its factorization.

1005972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7639 (or 7637 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 1005972 is about 1002.9815551644. The cubic root of 1005972 is about 100.1986717008.

The spelling of 1005972 in words is "one million, five thousand, nine hundred seventy-two".