972313 has 2 divisors, whose sum is σ = 972314. Its totient is φ = 972312.

The previous prime is 972277. The next prime is 972319. The reversal of 972313 is 313279.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 927369 + 44944 = 963^2 + 212^2 .

It is a cyclic number.

It is not a de Polignac number, because 972313 - 2¹⁷ = 841241 is a prime.

It is not a weakly prime, because it can be changed into another prime (972319) 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 as a sum of consecutive naturals, namely, 486156 + 486157.

It is an arithmetic number, because the mean of its divisors is an integer number (486157).

2⁹⁷²³¹³ is an apocalyptic number.

It is an amenable number.

972313 is a deficient number, since it is larger than the sum of its proper divisors (1).

972313 is an equidigital number, since it uses as much as digits as its factorization.

972313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1134, while the sum is 25.

The square root of 972313 is about 986.0593288439. The cubic root of 972313 is about 99.0684490750.

Subtracting from 972313 its product of digits (1134), we obtain a palindrome (971179).

The spelling of 972313 in words is "nine hundred seventy-two thousand, three hundred thirteen".