961937 has 2 divisors, whose sum is σ = 961938. Its totient is φ = 961936.

The previous prime is 961927. The next prime is 961943. The reversal of 961937 is 739169.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 923521 + 38416 = 961^2 + 196^2 .

It is a cyclic number.

It is not a de Polignac number, because 961937 - 2¹⁸ = 699793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 961897 and 961906.

It is not a weakly prime, because it can be changed into another prime (961927) 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, 480968 + 480969.

It is an arithmetic number, because the mean of its divisors is an integer number (480969).

2⁹⁶¹⁹³⁷ is an apocalyptic number.

It is an amenable number.

961937 is a deficient number, since it is larger than the sum of its proper divisors (1).

961937 is an equidigital number, since it uses as much as digits as its factorization.

961937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10206, while the sum is 35.

The square root of 961937 is about 980.7838701773. The cubic root of 961937 is about 98.7147863550.

The spelling of 961937 in words is "nine hundred sixty-one thousand, nine hundred thirty-seven".