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2084125 = 5316673
BaseRepresentation
bin111111100110100011101
310220212212211
413330310131
51013143000
6112400421
723500111
oct7746435
93825784
102084125
1111a391a
12846111
1357c814
143c3741
152b27ba
hex1fcd1d

2084125 has 8 divisors (see below), whose sum is σ = 2601144. Its totient is φ = 1667200.

The previous prime is 2084123. The next prime is 2084141. The reversal of 2084125 is 5214802.

It can be written as a sum of positive squares in 4 ways, for example, as 4761 + 2079364 = 69^2 + 1442^2 .

It is not a de Polignac number, because 2084125 - 21 = 2084123 is a prime.

It is a Duffinian number.

2084125 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2084096 and 2084105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084123) 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, 8212 + ... + 8461.

It is an arithmetic number, because the mean of its divisors is an integer number (325143).

22084125 is an apocalyptic number.

2084125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2084125 is a deficient number, since it is larger than the sum of its proper divisors (517019).

2084125 is an equidigital number, since it uses as much as digits as its factorization.

2084125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16688 (or 16678 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 2084125 is about 1443.6498883039. The cubic root of 2084125 is about 127.7344143271.

Adding to 2084125 its reverse (5214802), we get a palindrome (7298927).

It can be divided in two parts, 2084 and 125, that added together give a square (2209 = 472).

The spelling of 2084125 in words is "two million, eighty-four thousand, one hundred twenty-five".

Divisors: 1 5 25 125 16673 83365 416825 2084125