972252 has 36 divisors (see below), whose sum is σ = 2489760. Its totient is φ = 319872.

The previous prime is 972229. The next prime is 972259. The reversal of 972252 is 252279.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3949 + ... + 4187.

It is an arithmetic number, because the mean of its divisors is an integer number (69160).

2⁹⁷²²⁵² is an apocalyptic number.

It is an amenable number.

972252 is an abundant number, since it is smaller than the sum of its proper divisors (1517508).

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

972252 is a wasteful number, since it uses less digits than its factorization.

972252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 357 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 972252 is about 986.0283971570. The cubic root of 972252 is about 99.0663772793.

Adding to 972252 its sum of digits (27), we get a palindrome (972279).

The spelling of 972252 in words is "nine hundred seventy-two thousand, two hundred fifty-two".