972552 has 48 divisors (see below), whose sum is σ = 2831760. Its totient is φ = 277536.

The previous prime is 972533. The next prime is 972557. The reversal of 972552 is 255279.

It is a happy number.

972552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972552.

It is not an unprimeable number, because it can be changed into a prime (972557) by changing a digit.

972552 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 in 11 ways as a sum of consecutive naturals, for example, 763 + ... + 1589.

It is an arithmetic number, because the mean of its divisors is an integer number (58995).

2⁹⁷²⁵⁵² 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 972552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415880).

972552 is an abundant number, since it is smaller than the sum of its proper divisors (1859208).

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

972552 is a wasteful number, since it uses less digits than its factorization.

972552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 839 counting only the distinct ones).

The product of its digits is 6300, while the sum is 30.

The square root of 972552 is about 986.1805108600. The cubic root of 972552 is about 99.0765656039.

The spelling of 972552 in words is "nine hundred seventy-two thousand, five hundred fifty-two".