66913 has 12 divisors (see below), whose sum is σ = 85120. Its totient is φ = 51480.

The previous prime is 66889. The next prime is 66919. The reversal of 66913 is 31966.

It is a de Polignac number, because none of the positive numbers 2^k-66913 is a prime.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 6 + 6⁵ + 9² + 1 + 3¹⁰ .

Its product of digits (972) is a multiple of the sum of its prime factors (108).

It is not an unprimeable number, because it can be changed into a prime (66919) 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, 808 + ... + 886.

2⁶⁶⁹¹³ is an apocalyptic number.

It is an amenable number.

66913 is a deficient number, since it is larger than the sum of its proper divisors (18207).

66913 is a wasteful number, since it uses less digits than its factorization.

66913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 97 counting only the distinct ones).

The product of its digits is 972, while the sum is 25.

The square root of 66913 is about 258.6754723587. The cubic root of 66913 is about 40.5978935547.

It can be divided in two parts, 66 and 913, that added together give a palindrome (979).

The spelling of 66913 in words is "sixty-six thousand, nine hundred thirteen".