92766 has 8 divisors (see below), whose sum is σ = 185544. Its totient is φ = 30920.

The previous prime is 92761. The next prime is 92767. The reversal of 92766 is 66729.

It is a sphenic number, since it is the product of 3 distinct primes.

92766 is an admirable number.

It is a super-3 number, since 3×92766³ = 2394901998333288, which contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7725 + ... + 7736.

It is an arithmetic number, because the mean of its divisors is an integer number (23193).

2⁹²⁷⁶⁶ is an apocalyptic number.

92766 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92772).

92766 is a wasteful number, since it uses less digits than its factorization.

92766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15466.

The product of its digits is 4536, while the sum is 30.

The square root of 92766 is about 304.5751138882. The cubic root of 92766 is about 45.2685180050.

It can be divided in two parts, 92 and 766, that added together give a palindrome (858).

The spelling of 92766 in words is "ninety-two thousand, seven hundred sixty-six".