66949 has 2 divisors, whose sum is σ = 66950. Its totient is φ = 66948.

The previous prime is 66947. The next prime is 66959. The reversal of 66949 is 94966.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66049 + 900 = 257^2 + 30^2 .

It is a cyclic number.

It is not a de Polignac number, because 66949 - 2¹ = 66947 is a prime.

Together with 66947, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33474 + 33475.

It is an arithmetic number, because the mean of its divisors is an integer number (33475).

2⁶⁶⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

66949 is a deficient number, since it is larger than the sum of its proper divisors (1).

66949 is an equidigital number, since it uses as much as digits as its factorization.

66949 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11664, while the sum is 34.

The square root of 66949 is about 258.7450482618. The cubic root of 66949 is about 40.6051729680.

The spelling of 66949 in words is "sixty-six thousand, nine hundred forty-nine".