84101 has 4 divisors (see below), whose sum is σ = 86412. Its totient is φ = 81792.

The previous prime is 84089. The next prime is 84121. The reversal of 84101 is 10148.

Added to its reverse (10148) it gives a square (94249 = 307²).

It is a happy number.

84101 is nontrivially palindromic in base 4.

It is a Cunningham number, because it is equal to 290²+1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 75076 + 9025 = 274^2 + 95^2 .

It is a cyclic number.

It is not a de Polignac number, because 84101 - 2¹⁰ = 83077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1100 + ... + 1173.

It is an arithmetic number, because the mean of its divisors is an integer number (21603).

2⁸⁴¹⁰¹ is an apocalyptic number.

It is an amenable number.

84101 is a deficient number, since it is larger than the sum of its proper divisors (2311).

84101 is a wasteful number, since it uses less digits than its factorization.

84101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 84101 is about 290.0017241328. The cubic root of 84101 is about 43.8127372032.

Adding to 84101 its reverse (10148), we get a palindrome (94249).

The spelling of 84101 in words is "eighty-four thousand, one hundred one".