67582961 has 2 divisors, whose sum is σ = 67582962. Its totient is φ = 67582960.

The previous prime is 67582913. The next prime is 67582997. The reversal of 67582961 is 16928576.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44302336 + 23280625 = 6656^2 + 4825^2 .

It is a cyclic number.

It is not a de Polignac number, because 67582961 - 2¹⁸ = 67320817 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (67582861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33791480 + 33791481.

It is an arithmetic number, because the mean of its divisors is an integer number (33791481).

Almost surely, 2^67582961 is an apocalyptic number.

It is an amenable number.

67582961 is a deficient number, since it is larger than the sum of its proper divisors (1).

67582961 is an equidigital number, since it uses as much as digits as its factorization.

67582961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 181440, while the sum is 44.

The square root of 67582961 is about 8220.8856578838. The cubic root of 67582961 is about 407.3293821972.

The spelling of 67582961 in words is "sixty-seven million, five hundred eighty-two thousand, nine hundred sixty-one".