957641 has 2 divisors, whose sum is σ = 957642. Its totient is φ = 957640.

The previous prime is 957611. The next prime is 957643. The reversal of 957641 is 146759.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 687241 + 270400 = 829^2 + 520^2 .

It is a cyclic number.

It is not a de Polignac number, because 957641 - 2¹⁰ = 956617 is a prime.

Together with 957643, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 957598 and 957607.

It is not a weakly prime, because it can be changed into another prime (957643) 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, 478820 + 478821.

It is an arithmetic number, because the mean of its divisors is an integer number (478821).

2⁹⁵⁷⁶⁴¹ is an apocalyptic number.

It is an amenable number.

957641 is a deficient number, since it is larger than the sum of its proper divisors (1).

957641 is an equidigital number, since it uses as much as digits as its factorization.

957641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 32.

The square root of 957641 is about 978.5913345212. The cubic root of 957641 is about 98.5676139991.

The spelling of 957641 in words is "nine hundred fifty-seven thousand, six hundred forty-one".