83181 has 16 divisors (see below), whose sum is σ = 134784. Its totient is φ = 44544.

The previous prime is 83177. The next prime is 83203. The reversal of 83181 is 18138.

It is a happy number.

It is not a de Polignac number, because 83181 - 2² = 83177 is a prime.

It is a super-2 number, since 2×83181² = 13838157522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

83181 is a lucky number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241 + ... + 473.

It is an arithmetic number, because the mean of its divisors is an integer number (8424).

2⁸³¹⁸¹ is an apocalyptic number.

It is an amenable number.

83181 is a deficient number, since it is larger than the sum of its proper divisors (51603).

83181 is a wasteful number, since it uses less digits than its factorization.

83181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260.

The product of its digits is 192, while the sum is 21.

The square root of 83181 is about 288.4111648324. The cubic root of 83181 is about 43.6523919180.

The spelling of 83181 in words is "eighty-three thousand, one hundred eighty-one".