84125 has 8 divisors (see below), whose sum is σ = 105144. Its totient is φ = 67200.

The previous prime is 84121. The next prime is 84127. The reversal of 84125 is 52148.

It can be written as a sum of positive squares in 4 ways, for example, as 7396 + 76729 = 86^2 + 277^2 .

It is not a de Polignac number, because 84125 - 2² = 84121 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 84097 and 84106.

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 7 ways as a sum of consecutive naturals, for example, 212 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (13143).

2⁸⁴¹²⁵ is an apocalyptic number.

It is an amenable number.

84125 is a deficient number, since it is larger than the sum of its proper divisors (21019).

84125 is an equidigital number, since it uses as much as digits as its factorization.

84125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 678 counting only the distinct ones).

The product of its digits is 320, while the sum is 20.

The square root of 84125 is about 290.0431002455. The cubic root of 84125 is about 43.8169044373.

It can be divided in two parts, 841 and 25, that multiplied together give a square (21025 = 145²).

The spelling of 84125 in words is "eighty-four thousand, one hundred twenty-five".