91314 has 32 divisors (see below), whose sum is σ = 216000. Its totient is φ = 28512.

The previous prime is 91309. The next prime is 91331. The reversal of 91314 is 41319.

91314 is nontrivially palindromic in base 8.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 91314.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 982 + ... + 1070.

It is an arithmetic number, because the mean of its divisors is an integer number (6750).

2⁹¹³¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108000).

91314 is an abundant number, since it is smaller than the sum of its proper divisors (124686).

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

91314 is a wasteful number, since it uses less digits than its factorization.

91314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 91314 is about 302.1820643255. The cubic root of 91314 is about 45.0310896269.

The spelling of 91314 in words is "ninety-one thousand, three hundred fourteen".