66754 has 4 divisors (see below), whose sum is σ = 100134. Its totient is φ = 33376.

The previous prime is 66751. The next prime is 66763. The reversal of 66754 is 45766.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in only one way, i.e., 50625 + 16129 = 225^2 + 127^2 .

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66751) by changing a digit.

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, 16687 + ... + 16690.

2⁶⁶⁷⁵⁴ is an apocalyptic number.

66754 is a deficient number, since it is larger than the sum of its proper divisors (33380).

66754 is a wasteful number, since it uses less digits than its factorization.

66754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33379.

The product of its digits is 5040, while the sum is 28.

The square root of 66754 is about 258.3679546693. The cubic root of 66754 is about 40.5657115436.

It can be divided in two parts, 66 and 754, that added together give a triangular number (820 = T₄₀).

The spelling of 66754 in words is "sixty-six thousand, seven hundred fifty-four".