53766 has 24 divisors (see below), whose sum is σ = 121680. Its totient is φ = 17136.

The previous prime is 53759. The next prime is 53773. The reversal of 53766 is 66735.

It is an interprime number because it is at equal distance from previous prime (53759) and next prime (53773).

Its product of digits (3780) is a multiple of the sum of its prime factors (140).

It is a congruent number.

It is an unprimeable number.

53766 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 471 + ... + 573.

It is an arithmetic number, because the mean of its divisors is an integer number (5070).

2⁵³⁷⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60840).

53766 is an abundant number, since it is smaller than the sum of its proper divisors (67914).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53766 is a wasteful number, since it uses less digits than its factorization.

53766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 137 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 53766 is about 231.8749663073. The cubic root of 53766 is about 37.7429558659.

The spelling of 53766 in words is "fifty-three thousand, seven hundred sixty-six".