76961 has 2 divisors, whose sum is σ = 76962. Its totient is φ = 76960.

The previous prime is 76949. The next prime is 76963. The reversal of 76961 is 16967.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48400 + 28561 = 220^2 + 169^2 .

It is a cyclic number.

It is not a de Polignac number, because 76961 - 2¹⁰ = 75937 is a prime.

Together with 76963, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is not a weakly prime, because it can be changed into another prime (76963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38480 + 38481.

It is an arithmetic number, because the mean of its divisors is an integer number (38481).

2⁷⁶⁹⁶¹ is an apocalyptic number.

It is an amenable number.

76961 is a deficient number, since it is larger than the sum of its proper divisors (1).

76961 is an equidigital number, since it uses as much as digits as its factorization.

76961 is an odious number, because the sum of its binary digits is odd.

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

The square root of 76961 is about 277.4184564877. The cubic root of 76961 is about 42.5360248185.

The spelling of 76961 in words is "seventy-six thousand, nine hundred sixty-one".