67601 has 2 divisors, whose sum is σ = 67602. Its totient is φ = 67600.

The previous prime is 67589. The next prime is 67607. The reversal of 67601 is 10676.

It is a Cunningham number, because it is equal to 260²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67600 + 1 = 260^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 67601 - 2⁶ = 67537 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (67607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33800 + 33801.

It is an arithmetic number, because the mean of its divisors is an integer number (33801).

2⁶⁷⁶⁰¹ is an apocalyptic number.

It is an amenable number.

67601 is a deficient number, since it is larger than the sum of its proper divisors (1).

67601 is an equidigital number, since it uses as much as digits as its factorization.

67601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 67601 is about 260.0019230698. The cubic root of 67601 is about 40.7365619936.

The spelling of 67601 in words is "sixty-seven thousand, six hundred one".