95766 has 16 divisors (see below), whose sum is σ = 209088. Its totient is φ = 29000.

The previous prime is 95747. The next prime is 95773. The reversal of 95766 is 66759.

It is a super-2 number, since 2×95766² = 18342253512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 660 + ... + 791.

It is an arithmetic number, because the mean of its divisors is an integer number (13068).

2⁹⁵⁷⁶⁶ is an apocalyptic number.

95766 is an abundant number, since it is smaller than the sum of its proper divisors (113322).

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 (104544).

95766 is a wasteful number, since it uses less digits than its factorization.

95766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467.

The product of its digits is 11340, while the sum is 33.

The square root of 95766 is about 309.4608214298. The cubic root of 95766 is about 45.7513362206.

It can be divided in two parts, 95 and 766, that added together give a triangular number (861 = T₄₁).

The spelling of 95766 in words is "ninety-five thousand, seven hundred sixty-six".