967961 has 2 divisors, whose sum is σ = 967962. Its totient is φ = 967960.

The previous prime is 967951. The next prime is 967979. The reversal of 967961 is 169769.

967961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 732736 + 235225 = 856^2 + 485^2 .

It is an emirp because it is prime and its reverse (169769) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 967961 - 2¹⁰ = 966937 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 967961.

It is not a weakly prime, because it can be changed into another prime (967931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483980 + 483981.

It is an arithmetic number, because the mean of its divisors is an integer number (483981).

2⁹⁶⁷⁹⁶¹ is an apocalyptic number.

It is an amenable number.

967961 is a deficient number, since it is larger than the sum of its proper divisors (1).

967961 is an equidigital number, since it uses as much as digits as its factorization.

967961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20412, while the sum is 38.

The square root of 967961 is about 983.8500902068. The cubic root of 967961 is about 98.9204203526.

The spelling of 967961 in words is "nine hundred sixty-seven thousand, nine hundred sixty-one".