67961 has 2 divisors, whose sum is σ = 67962. Its totient is φ = 67960.

The previous prime is 67957. The next prime is 67967. The reversal of 67961 is 16976.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67600 + 361 = 260^2 + 19^2 .

It is a cyclic number.

It is not a de Polignac number, because 67961 - 2² = 67957 is a prime.

It is not a weakly prime, because it can be changed into another prime (67967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33980 + 33981.

It is an arithmetic number, because the mean of its divisors is an integer number (33981).

2⁶⁷⁹⁶¹ is an apocalyptic number.

It is an amenable number.

67961 is a deficient number, since it is larger than the sum of its proper divisors (1).

67961 is an equidigital number, since it uses as much as digits as its factorization.

67961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2268, while the sum is 29.

The square root of 67961 is about 260.6933063966. The cubic root of 67961 is about 40.8087463628.

The spelling of 67961 in words is "sixty-seven thousand, nine hundred sixty-one".