91350 has 72 divisors (see below), whose sum is σ = 290160. Its totient is φ = 20160.

The previous prime is 91331. The next prime is 91367. The reversal of 91350 is 5319.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

91350 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3136 + ... + 3164.

It is an arithmetic number, because the mean of its divisors is an integer number (4030).

2⁹¹³⁵⁰ is an apocalyptic number.

91350 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 91350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145080).

91350 is an abundant number, since it is smaller than the sum of its proper divisors (198810).

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

91350 is a wasteful number, since it uses less digits than its factorization.

91350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 91350 is about 302.2416251941. The cubic root of 91350 is about 45.0370065956.

Adding to 91350 its reverse (5319), we get a palindrome (96669).

It can be divided in two parts, 91 and 350, that added together give a square (441 = 21²).

The spelling of 91350 in words is "ninety-one thousand, three hundred fifty".