971753 has 2 divisors, whose sum is σ = 971754. Its totient is φ = 971752.

The previous prime is 971723. The next prime is 971759. The reversal of 971753 is 357179.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 595984 + 375769 = 772^2 + 613^2 .

It is an emirp because it is prime and its reverse (357179) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 971753 - 2¹⁸ = 709609 is a prime.

It is not a weakly prime, because it can be changed into another prime (971759) 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 as a sum of consecutive naturals, namely, 485876 + 485877.

It is an arithmetic number, because the mean of its divisors is an integer number (485877).

2⁹⁷¹⁷⁵³ is an apocalyptic number.

It is an amenable number.

971753 is a deficient number, since it is larger than the sum of its proper divisors (1).

971753 is an equidigital number, since it uses as much as digits as its factorization.

971753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6615, while the sum is 32.

The square root of 971753 is about 985.7753293728. The cubic root of 971753 is about 99.0494260561.

The spelling of 971753 in words is "nine hundred seventy-one thousand, seven hundred fifty-three".