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12583217 is a prime number
BaseRepresentation
bin110000000000…
…000100110001
3212200021221002
4300000010301
511210130332
61125411345
7211645523
oct60000461
925607832
1012583217
117114a59
124269b55
1327b75ba
141957a13
151188562
hexc00131

12583217 has 2 divisors, whose sum is σ = 12583218. Its totient is φ = 12583216.

The previous prime is 12583211. The next prime is 12583237. The reversal of 12583217 is 71238521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12222016 + 361201 = 3496^2 + 601^2 .

It is a cyclic number.

It is not a de Polignac number, because 12583217 - 220 = 11534641 is a prime.

It is equal to p823772 and since 12583217 and 823772 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12583217.

It is not a weakly prime, because it can be changed into another prime (12583211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6291608 + 6291609.

It is an arithmetic number, because the mean of its divisors is an integer number (6291609).

Almost surely, 212583217 is an apocalyptic number.

It is an amenable number.

12583217 is a deficient number, since it is larger than the sum of its proper divisors (1).

12583217 is an equidigital number, since it uses as much as digits as its factorization.

12583217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3360, while the sum is 29.

The square root of 12583217 is about 3547.2830448105. The cubic root of 12583217 is about 232.5933151458.

The spelling of 12583217 in words is "twelve million, five hundred eighty-three thousand, two hundred seventeen".