91756 has 24 divisors (see below), whose sum is σ = 191520. Its totient is φ = 37632.

The previous prime is 91753. The next prime is 91757. The reversal of 91756 is 65719.

It is a happy number.

91756 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (91753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 756 + ... + 868.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2⁹¹⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95760).

91756 is an abundant number, since it is smaller than the sum of its proper divisors (99764).

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

91756 is a wasteful number, since it uses less digits than its factorization.

91756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 151 counting only the distinct ones).

The product of its digits is 1890, while the sum is 28.

The square root of 91756 is about 302.9125286283. The cubic root of 91756 is about 45.1036294836.

The spelling of 91756 in words is "ninety-one thousand, seven hundred fifty-six".