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217025 = 528681
BaseRepresentation
bin110100111111000001
3102000200222
4310333001
523421100
64352425
71562504
oct647701
9360628
10217025
11139066
12a5715
1377a23
145913b
1544485
hex34fc1

217025 has 6 divisors (see below), whose sum is σ = 269142. Its totient is φ = 173600.

The previous prime is 217003. The next prime is 217027. The reversal of 217025 is 520712.

It can be written as a sum of positive squares in 3 ways, for example, as 37249 + 179776 = 193^2 + 424^2 .

It is a de Polignac number, because none of the positive numbers 2k-217025 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 216994 and 217012.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 217025.

It is not an unprimeable number, because it can be changed into a prime (217027) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4316 + ... + 4365.

It is an arithmetic number, because the mean of its divisors is an integer number (44857).

2217025 is an apocalyptic number.

217025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

217025 is a deficient number, since it is larger than the sum of its proper divisors (52117).

217025 is an equidigital number, since it uses as much as digits as its factorization.

217025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8691 (or 8686 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 217025 is about 465.8594208557. The cubic root of 217025 is about 60.0947576783.

Adding to 217025 its reverse (520712), we get a palindrome (737737).

The spelling of 217025 in words is "two hundred seventeen thousand, twenty-five".

Divisors: 1 5 25 8681 43405 217025