91744 has 24 divisors (see below), whose sum is σ = 187488. Its totient is φ = 44160.

The previous prime is 91733. The next prime is 91753. The reversal of 91744 is 44719.

It is a congruent number.

It is an unprimeable number.

91744 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1474 + ... + 1534.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2⁹¹⁷⁴⁴ is an apocalyptic number.

91744 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744).

91744 is an abundant number, since it is smaller than the sum of its proper divisors (95744).

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

91744 is a wasteful number, since it uses less digits than its factorization.

91744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

The product of its digits is 1008, while the sum is 25.

The square root of 91744 is about 302.8927202823. The cubic root of 91744 is about 45.1016631557.

Subtracting from 91744 its sum of digits (25), we obtain a palindrome (91719).

It can be divided in two parts, 917 and 44, that added together give a square (961 = 31²).

The spelling of 91744 in words is "ninety-one thousand, seven hundred forty-four".