84113 has 6 divisors (see below), whose sum is σ = 89154. Its totient is φ = 79344.

The previous prime is 84089. The next prime is 84121. The reversal of 84113 is 31148.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 61009 + 23104 = 247^2 + 152^2 .

It is not a de Polignac number, because 84113 - 2⁸ = 83857 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 84091 and 84100.

It is not an unprimeable number, because it can be changed into a prime (84143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 245 + ... + 477.

It is an arithmetic number, because the mean of its divisors is an integer number (14859).

2⁸⁴¹¹³ is an apocalyptic number.

It is an amenable number.

84113 is a deficient number, since it is larger than the sum of its proper divisors (5041).

84113 is a wasteful number, since it uses less digits than its factorization.

84113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 252 counting only the distinct ones).

The product of its digits is 96, while the sum is 17.

The square root of 84113 is about 290.0224129270. The cubic root of 84113 is about 43.8148209193.

The spelling of 84113 in words is "eighty-four thousand, one hundred thirteen".