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13582417 is a prime number
BaseRepresentation
bin110011110100…
…000001010001
3221120001120111
4303310001101
511434114132
61203041321
7223306612
oct63640121
927501514
1013582417
117737742
124670241
132a77344
141b37c09
1512d4647
hexcf4051

13582417 has 2 divisors, whose sum is σ = 13582418. Its totient is φ = 13582416.

The previous prime is 13582399. The next prime is 13582423. The reversal of 13582417 is 71428531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7817616 + 5764801 = 2796^2 + 2401^2 .

It is an emirp because it is prime and its reverse (71428531) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13582417 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13582427) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6791208 + 6791209.

It is an arithmetic number, because the mean of its divisors is an integer number (6791209).

Almost surely, 213582417 is an apocalyptic number.

It is an amenable number.

13582417 is a deficient number, since it is larger than the sum of its proper divisors (1).

13582417 is an equidigital number, since it uses as much as digits as its factorization.

13582417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6720, while the sum is 31.

The square root of 13582417 is about 3685.4330817422. The cubic root of 13582417 is about 238.5937263017.

The spelling of 13582417 in words is "thirteen million, five hundred eighty-two thousand, four hundred seventeen".