972193 has 4 divisors (see below), whose sum is σ = 974980. Its totient is φ = 969408.

The previous prime is 972163. The next prime is 972197. The reversal of 972193 is 391279.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 391279 = 7 ⋅55897.

It can be written as a sum of positive squares in 2 ways, for example, as 667489 + 304704 = 817^2 + 552^2 .

It is a cyclic number.

It is not a de Polignac number, because 972193 - 2⁵ = 972161 is a prime.

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 3 ways as a sum of consecutive naturals, for example, 780 + ... + 1597.

It is an arithmetic number, because the mean of its divisors is an integer number (243745).

2⁹⁷²¹⁹³ is an apocalyptic number.

It is an amenable number.

972193 is a deficient number, since it is larger than the sum of its proper divisors (2787).

972193 is a wasteful number, since it uses less digits than its factorization.

972193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786.

The product of its digits is 3402, while the sum is 31.

The square root of 972193 is about 985.9984787007. The cubic root of 972193 is about 99.0643733288.

The spelling of 972193 in words is "nine hundred seventy-two thousand, one hundred ninety-three".