961637 has 2 divisors, whose sum is σ = 961638. Its totient is φ = 961636.

The previous prime is 961633. The next prime is 961643. The reversal of 961637 is 736169.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 863041 + 98596 = 929^2 + 314^2 .

It is a cyclic number.

It is not a de Polignac number, because 961637 - 2² = 961633 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (961633) 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, 480818 + 480819.

It is an arithmetic number, because the mean of its divisors is an integer number (480819).

2⁹⁶¹⁶³⁷ is an apocalyptic number.

It is an amenable number.

961637 is a deficient number, since it is larger than the sum of its proper divisors (1).

961637 is an equidigital number, since it uses as much as digits as its factorization.

961637 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 961637 is about 980.6309193575. The cubic root of 961637 is about 98.7045232036.

The spelling of 961637 in words is "nine hundred sixty-one thousand, six hundred thirty-seven".