91830 has 16 divisors (see below), whose sum is σ = 220464. Its totient is φ = 24480.

The previous prime is 91823. The next prime is 91837. The reversal of 91830 is 3819.

It is an interprime number because it is at equal distance from previous prime (91823) and next prime (91837).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 91797 and 91806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91837) 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, 1501 + ... + 1560.

It is an arithmetic number, because the mean of its divisors is an integer number (13779).

2⁹¹⁸³⁰ is an apocalyptic number.

91830 is an abundant number, since it is smaller than the sum of its proper divisors (128634).

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 (110232).

91830 is a wasteful number, since it uses less digits than its factorization.

91830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3071.

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

The square root of 91830 is about 303.0346514840. The cubic root of 91830 is about 45.1157513856.

Subtracting from 91830 its sum of digits (21), we obtain a square (91809 = 303²).

The spelling of 91830 in words is "ninety-one thousand, eight hundred thirty".