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601 is a prime number

• 601 can be written using four 4's:

See also 113.
601 has 2 divisors, whose sum is σ = 602. Its totient is φ = 600.

The previous prime is 599. The next prime is 607. The reversal of 601 is 106.

601 is nontrivially palindromic in base 9 and base 13.

601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 576 + 25 = 24^2 + 5^2 .

It is a cyclic number.

It is not a de Polignac number, because 601 - 21 = 599 is a prime.

It is a super-2 number, since 2×6012 = 722402, which contains 22 as substring.

Together with 599, it forms a pair of twin primes.

It is a magnanimous number.

It is the 25-th Hogben number.

601 is an undulating number in base 9 and base 13.

601 is a lucky number.

It is a plaindrome in base 16.

It is a nialpdrome in base 12.

It is not a weakly prime, because it can be changed into another prime (607) by changing a digit.

It is a nontrivial repunit in base 24.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 300 + 301.

It is an arithmetic number, because the mean of its divisors is an integer number (301).

601 is the 16-th centered pentagonal number.

It is an amenable number.

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

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

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

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 601 is about 24.5153013443. The cubic root of 601 is about 8.4390097893.

Adding to 601 its reverse (106), we get a palindrome (707).

The spelling of 601 in words is "six hundred one", and thus it is an aban number.