972846 has 36 divisors (see below), whose sum is σ = 2454192. Its totient is φ = 277704.

The previous prime is 972833. The next prime is 972847. The reversal of 972846 is 648279.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 972846.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972846.

It is not an unprimeable number, because it can be changed into a prime (972847) by changing a digit.

972846 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 17 ways as a sum of consecutive naturals, for example, 331 + ... + 1433.

It is an arithmetic number, because the mean of its divisors is an integer number (68172).

2⁹⁷²⁸⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227096).

972846 is an abundant number, since it is smaller than the sum of its proper divisors (1481346).

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

972846 is a wasteful number, since it uses less digits than its factorization.

972846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1115 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 972846 is about 986.3295595287. The cubic root of 972846 is about 99.0865481294.

The spelling of 972846 in words is "nine hundred seventy-two thousand, eight hundred forty-six".