963761 has 2 divisors, whose sum is σ = 963762. Its totient is φ = 963760.

The previous prime is 963751. The next prime is 963763. The reversal of 963761 is 167369.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 640000 + 323761 = 800^2 + 569^2 .

It is a cyclic number.

It is not a de Polignac number, because 963761 - 2¹⁰ = 962737 is a prime.

Together with 963763, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (963763) 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, 481880 + 481881.

It is an arithmetic number, because the mean of its divisors is an integer number (481881).

2⁹⁶³⁷⁶¹ is an apocalyptic number.

It is an amenable number.

963761 is a deficient number, since it is larger than the sum of its proper divisors (1).

963761 is an equidigital number, since it uses as much as digits as its factorization.

963761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6804, while the sum is 32.

The square root of 963761 is about 981.7132982699. The cubic root of 963761 is about 98.7771404330. Note that the first 3 decimals are identical.

The spelling of 963761 in words is "nine hundred sixty-three thousand, seven hundred sixty-one".