91146 has 16 divisors (see below), whose sum is σ = 199008. Its totient is φ = 27600.

The previous prime is 91141. The next prime is 91151. The reversal of 91146 is 64119.

It is an interprime number because it is at equal distance from previous prime (91141) and next prime (91151).

It is not an unprimeable number, because it can be changed into a prime (91141) by changing a digit.

91146 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 7 ways as a sum of consecutive naturals, for example, 625 + ... + 756.

It is an arithmetic number, because the mean of its divisors is an integer number (12438).

2⁹¹¹⁴⁶ is an apocalyptic number.

91146 is an abundant number, since it is smaller than the sum of its proper divisors (107862).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99504).

91146 is a wasteful number, since it uses less digits than its factorization.

91146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397.

The product of its digits is 216, while the sum is 21.

The square root of 91146 is about 301.9039582384. The cubic root of 91146 is about 45.0034565246.

Subtracting from 91146 its sum of digits (21), we obtain a cube (91125 = 45³).

The spelling of 91146 in words is "ninety-one thousand, one hundred forty-six".