972256 has 24 divisors (see below), whose sum is σ = 1998864. Its totient is φ = 464640.

The previous prime is 972229. The next prime is 972259. The reversal of 972256 is 652279.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972259) by changing a digit.

972256 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76 + ... + 1396.

It is an arithmetic number, because the mean of its divisors is an integer number (83286).

2⁹⁷²²⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999432).

972256 is an abundant number, since it is smaller than the sum of its proper divisors (1026608).

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

972256 is a wasteful number, since it uses less digits than its factorization.

972256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1346 counting only the distinct ones).

The product of its digits is 7560, while the sum is 31.

The square root of 972256 is about 986.0304254941. The cubic root of 972256 is about 99.0665131374.

It can be divided in two parts, 972 and 256, that multiplied together give a 5-th power (248832 = 12⁵).

The spelling of 972256 in words is "nine hundred seventy-two thousand, two hundred fifty-six".