973152 has 72 divisors (see below), whose sum is σ = 2882880. Its totient is φ = 311040.

The previous prime is 973151. The next prime is 973169. The reversal of 973152 is 251379.

973152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8874 + ... + 8982.

It is an arithmetic number, because the mean of its divisors is an integer number (40040).

2⁹⁷³¹⁵² 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 973152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441440).

973152 is an abundant number, since it is smaller than the sum of its proper divisors (1909728).

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

973152 is a wasteful number, since it uses less digits than its factorization.

973152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 145 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 973152 is about 986.4846678991. The cubic root of 973152 is about 99.0969359693.

It can be divided in two parts, 97 and 3152, that added together give a square (3249 = 57²).

The spelling of 973152 in words is "nine hundred seventy-three thousand, one hundred fifty-two".