1008972 has 18 divisors (see below), whose sum is σ = 2550548. Its totient is φ = 336312.

The previous prime is 1008947. The next prime is 1008979. The reversal of 1008972 is 2798001.

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (1008979) 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 5 ways as a sum of consecutive naturals, for example, 13978 + ... + 14049.

2^1008972 is an apocalyptic number.

1008972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1008972 is an abundant number, since it is smaller than the sum of its proper divisors (1541576).

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

1008972 is a wasteful number, since it uses less digits than its factorization.

1008972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28037 (or 28032 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1008972 is about 1004.4759827890. The cubic root of 1008972 is about 100.2981766896.

The spelling of 1008972 in words is "one million, eight thousand, nine hundred seventy-two".