972126 has 24 divisors (see below), whose sum is σ = 2148120. Its totient is φ = 317616.

The previous prime is 972121. The next prime is 972131. The reversal of 972126 is 621279.

It is an interprime number because it is at equal distance from previous prime (972121) and next prime (972131).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 972126.

It is a congruent number.

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

972126 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 445 + ... + 1463.

It is an arithmetic number, because the mean of its divisors is an integer number (89505).

2⁹⁷²¹²⁶ is an apocalyptic number.

972126 is an abundant number, since it is smaller than the sum of its proper divisors (1175994).

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

972126 is a wasteful number, since it uses less digits than its factorization.

972126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1077 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 972126 is about 985.9645024036. The cubic root of 972126 is about 99.0620975580.

The spelling of 972126 in words is "nine hundred seventy-two thousand, one hundred twenty-six".