972123 has 8 divisors (see below), whose sum is σ = 1302336. Its totient is φ = 645000.

The previous prime is 972121. The next prime is 972131. The reversal of 972123 is 321279.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 972123 - 2¹ = 972121 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 972093 and 972102.

It is not an unprimeable number, because it can be changed into a prime (972121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108 + ... + 1398.

It is an arithmetic number, because the mean of its divisors is an integer number (162792).

2⁹⁷²¹²³ is an apocalyptic number.

972123 is a deficient number, since it is larger than the sum of its proper divisors (330213).

972123 is a wasteful number, since it uses less digits than its factorization.

972123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545.

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

The square root of 972123 is about 985.9629810495. The cubic root of 972123 is about 99.0619956553.

The spelling of 972123 in words is "nine hundred seventy-two thousand, one hundred twenty-three".