66249 has 12 divisors (see below), whose sum is σ = 101556. Its totient is φ = 41472.

The previous prime is 66239. The next prime is 66271. The reversal of 66249 is 94266.

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 38025 = 168^2 + 195^2 .

It is not a de Polignac number, because 66249 - 2⁸ = 65993 is a prime.

It is a d-powerful number, because it can be written as 6⁴ + 6⁴ + 2⁹ + 4⁶ + 9⁵ .

It is a Curzon number.

66249 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64 + ... + 369.

It is an arithmetic number, because the mean of its divisors is an integer number (8463).

2⁶⁶²⁴⁹ is an apocalyptic number.

It is an amenable number.

66249 is a deficient number, since it is larger than the sum of its proper divisors (35307).

66249 is a wasteful number, since it uses less digits than its factorization.

66249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 453 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 66249 is about 257.3888109456. The cubic root of 66249 is about 40.4631580826.

The spelling of 66249 in words is "sixty-six thousand, two hundred forty-nine".