972012 has 12 divisors (see below), whose sum is σ = 2268056. Its totient is φ = 324000.

The previous prime is 972001. The next prime is 972017. The reversal of 972012 is 210279.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 972012.

It is not an unprimeable number, because it can be changed into a prime (972017) by changing a digit.

972012 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40489 + ... + 40512.

2⁹⁷²⁰¹² is an apocalyptic number.

It is an amenable number.

972012 is an abundant number, since it is smaller than the sum of its proper divisors (1296044).

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

972012 is a wasteful number, since it uses less digits than its factorization.

972012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81008 (or 81006 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 972012 is about 985.9066892967. The cubic root of 972012 is about 99.0582251105.

The spelling of 972012 in words is "nine hundred seventy-two thousand, twelve".