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13586941 is a prime number
BaseRepresentation
bin110011110101…
…000111111101
3221120021210001
4303311013331
511434240231
61203114301
7223326034
oct63650775
927507701
1013586941
117740085
124672991
132a79414
141b3971b
1512d5b61
hexcf51fd

13586941 has 2 divisors, whose sum is σ = 13586942. Its totient is φ = 13586940.

The previous prime is 13586939. The next prime is 13586977. The reversal of 13586941 is 14968531.

13586941 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13351716 + 235225 = 3654^2 + 485^2 .

It is a cyclic number.

It is not a de Polignac number, because 13586941 - 21 = 13586939 is a prime.

It is a super-3 number, since 3×135869413 (a number of 22 digits) contains 333 as substring.

Together with 13586939, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 13586941.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13586641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6793470 + 6793471.

It is an arithmetic number, because the mean of its divisors is an integer number (6793471).

Almost surely, 213586941 is an apocalyptic number.

It is an amenable number.

13586941 is a deficient number, since it is larger than the sum of its proper divisors (1).

13586941 is an equidigital number, since it uses as much as digits as its factorization.

13586941 is an evil number, because the sum of its binary digits is even.

The product of its digits is 25920, while the sum is 37.

The square root of 13586941 is about 3686.0467984007. The cubic root of 13586941 is about 238.6202134431.

The spelling of 13586941 in words is "thirteen million, five hundred eighty-six thousand, nine hundred forty-one".