972352 has 14 divisors (see below), whose sum is σ = 1929638. Its totient is φ = 486144.

The previous prime is 972347. The next prime is 972353. The reversal of 972352 is 253279.

It can be written as a sum of positive squares in only one way, i.e., 968256 + 4096 = 984^2 + 64^2 .

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 972352.

It is not an unprimeable number, because it can be changed into a prime (972353) by changing a digit.

972352 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, 7533 + ... + 7660.

2⁹⁷²³⁵² is an apocalyptic number.

It is an amenable number.

972352 is a deficient number, since it is larger than the sum of its proper divisors (957286).

972352 is a wasteful number, since it uses less digits than its factorization.

972352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15205 (or 15195 counting only the distinct ones).

The product of its digits is 3780, while the sum is 28.

The square root of 972352 is about 986.0791043319. The cubic root of 972352 is about 99.0697736203.

It can be divided in two parts, 9 and 72352, that added together give a square (72361 = 269²).

The spelling of 972352 in words is "nine hundred seventy-two thousand, three hundred fifty-two".