91131 has 8 divisors (see below), whose sum is σ = 124944. Its totient is φ = 59040.

The previous prime is 91129. The next prime is 91139. The reversal of 91131 is 13119.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 91131 - 2¹ = 91129 is a prime.

It is a super-2 number, since 2×91131² = 16609718322, which contains 22 as substring.

91131 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 91131.

It is not an unprimeable number, because it can be changed into a prime (91139) 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, 300 + ... + 521.

It is an arithmetic number, because the mean of its divisors is an integer number (15618).

2⁹¹¹³¹ is an apocalyptic number.

91131 is a deficient number, since it is larger than the sum of its proper divisors (33813).

91131 is a wasteful number, since it uses less digits than its factorization.

91131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861.

The product of its digits is 27, while the sum is 15.

The square root of 91131 is about 301.8791148788. The cubic root of 91131 is about 45.0009876326. Note that the first 3 decimals are identical.

It can be divided in two parts, 91 and 131, that added together give a palindrome (222).

The spelling of 91131 in words is "ninety-one thousand, one hundred thirty-one".