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337025 = 52131761
BaseRepresentation
bin1010010010010000001
3122010022102
41102102001
541241100
611120145
72602403
oct1222201
9563272
10337025
11210237
12143055
13ba530
148ab73
1569cd5
hex52481

337025 has 24 divisors (see below), whose sum is σ = 484344. Its totient is φ = 230400.

The previous prime is 337021. The next prime is 337031. The reversal of 337025 is 520733.

It can be written as a sum of positive squares in 12 ways, for example, as 201601 + 135424 = 449^2 + 368^2 .

It is not a de Polignac number, because 337025 - 22 = 337021 is a prime.

It is a super-2 number, since 2×3370252 = 227171701250, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 336988 and 337006.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 337025.

It is not an unprimeable number, because it can be changed into a prime (337021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5495 + ... + 5555.

It is an arithmetic number, because the mean of its divisors is an integer number (20181).

2337025 is an apocalyptic number.

It is an amenable number.

337025 is a deficient number, since it is larger than the sum of its proper divisors (147319).

337025 is a wasteful number, since it uses less digits than its factorization.

337025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 20.

The square root of 337025 is about 580.5385430788. The cubic root of 337025 is about 69.5911541363.

Adding to 337025 its reverse (520733), we get a palindrome (857758).

The spelling of 337025 in words is "three hundred thirty-seven thousand, twenty-five".

Divisors: 1 5 13 17 25 61 65 85 221 305 325 425 793 1037 1105 1525 3965 5185 5525 13481 19825 25925 67405 337025