972196 has 27 divisors (see below), whose sum is σ = 1871779. Its totient is φ = 441728.

The previous prime is 972163. The next prime is 972197. The reversal of 972196 is 691279.

The square root of 972196 is 986.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 96100 + 876096 = 310^2 + 936^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (972197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33510 + ... + 33538.

972196 is a Friedman number, since it can be written as (979+6+1)^2, using all its digits and the basic arithmetic operations.

2⁹⁷²¹⁹⁶ is an apocalyptic number.

972196 is the 986-th square number.

It is an amenable number.

972196 is a deficient number, since it is larger than the sum of its proper divisors (899583).

972196 is a wasteful number, since it uses less digits than its factorization.

972196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 48 counting only the distinct ones).

The product of its digits is 6804, while the sum is 34.

The cubic root of 972196 is about 99.0644752266.

The spelling of 972196 in words is "nine hundred seventy-two thousand, one hundred ninety-six".