66749 has 2 divisors, whose sum is σ = 66750. Its totient is φ = 66748.
The previous prime is 66739. The next prime is 66751. The reversal of 66749 is 94766.
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 60025 + 6724 = 245^2 + 82^2 .
It is a cyclic number.
It is not a de Polignac number, because 66749 - 24 = 66733 is a prime.
It is a Sophie Germain prime.
Together with 66751, it forms a pair of twin primes.
It is a Chen prime.
It is an Ulam number.
It is a Curzon number.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (66739) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33374 + 33375.
It is an arithmetic number, because the mean of its divisors is an integer number (33375).
266749 is an apocalyptic number.
It is an amenable number.
66749 is a deficient number, since it is larger than the sum of its proper divisors (1).
66749 is an equidigital number, since it uses as much as digits as its factorization.
66749 is an evil number, because the sum of its binary digits is even.
The product of its digits is 9072, while the sum is 32.
The square root of 66749 is about 258.3582783655. The cubic root of 66749 is about 40.5646987024.
The spelling of 66749 in words is "sixty-six thousand, seven hundred forty-nine".
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