96750 has 48 divisors (see below), whose sum is σ = 267696. Its totient is φ = 25200.

The previous prime is 96749. The next prime is 96757. The reversal of 96750 is 5769.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2229 + ... + 2271.

It is an arithmetic number, because the mean of its divisors is an integer number (5577).

2⁹⁶⁷⁵⁰ is an apocalyptic number.

96750 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133848).

96750 is an abundant number, since it is smaller than the sum of its proper divisors (170946).

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

96750 is a wasteful number, since it uses less digits than its factorization.

96750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 96750 is about 311.0466202999. The cubic root of 96750 is about 45.9075015862.

The spelling of 96750 in words is "ninety-six thousand, seven hundred fifty".