972125 has 32 divisors (see below), whose sum is σ = 1527552. Its totient is φ = 600000.

The previous prime is 972121. The next prime is 972131. The reversal of 972125 is 521279.

It is not a de Polignac number, because 972125 - 2² = 972121 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 972094 and 972103.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 9575 + ... + 9675.

It is an arithmetic number, because the mean of its divisors is an integer number (47736).

2⁹⁷²¹²⁵ is an apocalyptic number.

It is an amenable number.

972125 is a deficient number, since it is larger than the sum of its proper divisors (555427).

972125 is a wasteful number, since it uses less digits than its factorization.

972125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 124 counting only the distinct ones).

The product of its digits is 1260, while the sum is 26.

The square root of 972125 is about 985.9639952858. The cubic root of 972125 is about 99.0620635904.

It can be divided in two parts, 97 and 2125, that added together give a palindrome (2222).

The spelling of 972125 in words is "nine hundred seventy-two thousand, one hundred twenty-five".