972009 has 12 divisors (see below), whose sum is σ = 1486836. Its totient is φ = 609792.

The previous prime is 972001. The next prime is 972017. The reversal of 972009 is 900279.

It is an interprime number because it is at equal distance from previous prime (972001) and next prime (972017).

It can be written as a sum of positive squares in 2 ways, for example, as 608400 + 363609 = 780^2 + 603^2 .

It is not a de Polignac number, because 972009 - 2³ = 972001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (972001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3024 + ... + 3329.

It is an arithmetic number, because the mean of its divisors is an integer number (123903).

2⁹⁷²⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

972009 is a deficient number, since it is larger than the sum of its proper divisors (514827).

972009 is a wasteful number, since it uses less digits than its factorization.

972009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6376 (or 6373 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 972009 is about 985.9051678534. The cubic root of 972009 is about 99.0581231999.

The spelling of 972009 in words is "nine hundred seventy-two thousand, nine".