96766 has 4 divisors (see below), whose sum is σ = 145152. Its totient is φ = 48382.

The previous prime is 96763. The next prime is 96769. The reversal of 96766 is 66769.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 66769 = 23 ⋅2903.

It is an interprime number because it is at equal distance from previous prime (96763) and next prime (96769).

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24190 + ... + 24193.

It is an arithmetic number, because the mean of its divisors is an integer number (36288).

2⁹⁶⁷⁶⁶ is an apocalyptic number.

96766 is a deficient number, since it is larger than the sum of its proper divisors (48386).

96766 is a wasteful number, since it uses less digits than its factorization.

96766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48385.

The product of its digits is 13608, while the sum is 34.

The square root of 96766 is about 311.0723388538. The cubic root of 96766 is about 45.9100320928.

It can be divided in two parts, 96 and 766, that multiplied together give a triangular number (73536 = T₃₈₃).

The spelling of 96766 in words is "ninety-six thousand, seven hundred sixty-six".