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131641 is a prime number
BaseRepresentation
bin100000001000111001
320200120121
4200020321
513203031
62453241
71055536
oct401071
9220517
10131641
118a9a4
1264221
1347bc3
1435d8d
1529011
hex20239

131641 has 2 divisors, whose sum is σ = 131642. Its totient is φ = 131640.

The previous prime is 131639. The next prime is 131671. The reversal of 131641 is 146131.

Adding to 131641 its reverse (146131), we get a palindrome (277772).

It can be divided in two parts, 1316 and 41, that multiplied together give a triangular number (53956 = T328).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102400 + 29241 = 320^2 + 171^2 .

It is a cyclic number.

It is not a de Polignac number, because 131641 - 21 = 131639 is a prime.

Together with 131639, it forms a pair of twin primes.

131641 is a lucky number.

It is a nialpdrome in base 12.

It is not a weakly prime, because it can be changed into another prime (131611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65820 + 65821.

It is an arithmetic number, because the mean of its divisors is an integer number (65821).

2131641 is an apocalyptic number.

It is an amenable number.

131641 is a deficient number, since it is larger than the sum of its proper divisors (1).

131641 is an equidigital number, since it uses as much as digits as its factorization.

131641 is an evil number, because the sum of its binary digits is even.

The product of its digits is 72, while the sum is 16.

The square root of 131641 is about 362.8236486229. The cubic root of 131641 is about 50.8702326969.

The spelling of 131641 in words is "one hundred thirty-one thousand, six hundred forty-one".