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2005325 = 52721637
BaseRepresentation
bin111101001100101001101
310202212210022
413221211031
51003132300
6110551525
723021300
oct7514515
93685708
102005325
11114a6a3
128085a5
135529aa
143a2b37
15299285
hex1e994d

2005325 has 18 divisors (see below), whose sum is σ = 2894346. Its totient is φ = 1374240.

The previous prime is 2005319. The next prime is 2005331. The reversal of 2005325 is 5235002.

It is an interprime number because it is at equal distance from previous prime (2005319) and next prime (2005331).

It can be written as a sum of positive squares in 3 ways, for example, as 5929 + 1999396 = 77^2 + 1414^2 .

It is not a de Polignac number, because 2005325 - 26 = 2005261 is a prime.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 407 + ... + 2043.

It is an arithmetic number, because the mean of its divisors is an integer number (160797).

22005325 is an apocalyptic number.

2005325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2005325 is a deficient number, since it is larger than the sum of its proper divisors (889021).

2005325 is a wasteful number, since it uses less digits than its factorization.

2005325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 2005325 is about 1416.0949826901. The cubic root of 2005325 is about 126.1038238907.

The spelling of 2005325 in words is "two million, five thousand, three hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 1637 8185 11459 40925 57295 80213 286475 401065 2005325