972006 has 16 divisors (see below), whose sum is σ = 2221824. Its totient is φ = 277704.

The previous prime is 972001. The next prime is 972017. The reversal of 972006 is 600279.

It is a Curzon number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 11530 + ... + 11613.

It is an arithmetic number, because the mean of its divisors is an integer number (138864).

2⁹⁷²⁰⁰⁶ is an apocalyptic number.

972006 is an abundant number, since it is smaller than the sum of its proper divisors (1249818).

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

972006 is a wasteful number, since it uses less digits than its factorization.

972006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23155.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 972006 is about 985.9036464077. The cubic root of 972006 is about 99.0580212891.

The spelling of 972006 in words is "nine hundred seventy-two thousand, six".