232961 has 2 divisors, whose sum is σ = 232962. Its totient is φ = 232960.

The previous prime is 232937. The next prime is 232963. The reversal of 232961 is 169232.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 231361 + 1600 = 481^2 + 40^2 .

It is a cyclic number.

It is not a de Polignac number, because 232961 - 2¹⁴ = 216577 is a prime.

Together with 232963, it forms a pair of twin primes.

It is a Chen prime.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 232961.

It is not a weakly prime, because it can be changed into another prime (232963) 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, 116480 + 116481.

It is an arithmetic number, because the mean of its divisors is an integer number (116481).

It is a Proth number, since it is equal to 455 ⋅ 2⁹ + 1 and 455 < 2⁹.

2²³²⁹⁶¹ is an apocalyptic number.

It is an amenable number.

232961 is a deficient number, since it is larger than the sum of its proper divisors (1).

232961 is an equidigital number, since it uses as much as digits as its factorization.

232961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 23.

The square root of 232961 is about 482.6603360542. The cubic root of 232961 is about 61.5310614900.

The spelling of 232961 in words is "two hundred thirty-two thousand, nine hundred sixty-one".