91749 has 16 divisors (see below), whose sum is σ = 148608. Its totient is φ = 49152.

The previous prime is 91733. The next prime is 91753. The reversal of 91749 is 94719.

91749 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 91749 - 2⁴ = 91733 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229 + ... + 485.

It is an arithmetic number, because the mean of its divisors is an integer number (9288).

2⁹¹⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

91749 is a deficient number, since it is larger than the sum of its proper divisors (56859).

91749 is a wasteful number, since it uses less digits than its factorization.

91749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284.

The product of its digits is 2268, while the sum is 30.

The square root of 91749 is about 302.9009739172. The cubic root of 91749 is about 45.1024824798.

Subtracting from 91749 its sum of digits (30), we obtain a palindrome (91719).

The spelling of 91749 in words is "ninety-one thousand, seven hundred forty-nine".