971752 has 8 divisors (see below), whose sum is σ = 1822050. Its totient is φ = 485872.

The previous prime is 971723. The next prime is 971753. The reversal of 971752 is 257179.

It can be written as a sum of positive squares in only one way, i.e., 715716 + 256036 = 846^2 + 506^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (971753) by changing a digit.

971752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60727 + ... + 60742.

2⁹⁷¹⁷⁵² is an apocalyptic number.

It is an amenable number.

971752 is a deficient number, since it is larger than the sum of its proper divisors (850298).

971752 is a wasteful number, since it uses less digits than its factorization.

971752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121475 (or 121471 counting only the distinct ones).

The product of its digits is 4410, while the sum is 31.

The square root of 971752 is about 985.7748221577. The cubic root of 971752 is about 99.0493920799.

It can be divided in two parts, 97 and 1752, that added together give a square (1849 = 43²).

The spelling of 971752 in words is "nine hundred seventy-one thousand, seven hundred fifty-two".