67108961 has 2 divisors, whose sum is σ = 67108962. Its totient is φ = 67108960.

The previous prime is 67108957. The next prime is 67108981. The reversal of 67108961 is 16980176.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41667025 + 25441936 = 6455^2 + 5044^2 .

It is a cyclic number.

It is not a de Polignac number, because 67108961 - 2² = 67108957 is a prime.

It is a super-2 number, since 2×67108961² = 9007225292999042, which contains 22 as substring.

It is a Chen prime.

It is equal to p_3957815 and since 67108961 and 3957815 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (67108981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33554480 + 33554481.

It is an arithmetic number, because the mean of its divisors is an integer number (33554481).

Almost surely, 2^67108961 is an apocalyptic number.

It is an amenable number.

67108961 is a deficient number, since it is larger than the sum of its proper divisors (1).

67108961 is an equidigital number, since it uses as much as digits as its factorization.

67108961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 67108961 is about 8192.0059204080. The cubic root of 67108961 is about 406.3748650968.

The spelling of 67108961 in words is "sixty-seven million, one hundred eight thousand, nine hundred sixty-one".