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42641 is a prime number
BaseRepresentation
bin1010011010010001
32011111022
422122101
52331031
6525225
7235214
oct123221
964438
1042641
112a045
1220815
1316541
141177b
15c97b
hexa691

42641 has 2 divisors, whose sum is σ = 42642. Its totient is φ = 42640.

The previous prime is 42611. The next prime is 42643. The reversal of 42641 is 14624.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38416 + 4225 = 196^2 + 65^2 .

It is a cyclic number.

It is not a de Polignac number, because 42641 - 26 = 42577 is a prime.

Together with 42643, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42641.

It is not a weakly prime, because it can be changed into another prime (42643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21320 + 21321.

It is an arithmetic number, because the mean of its divisors is an integer number (21321).

242641 is an apocalyptic number.

It is an amenable number.

42641 is a deficient number, since it is larger than the sum of its proper divisors (1).

42641 is an equidigital number, since it uses as much as digits as its factorization.

42641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 192, while the sum is 17.

The square root of 42641 is about 206.4969733434. The cubic root of 42641 is about 34.9362103407.

Subtracting from 42641 its sum of digits (17), we obtain a palindrome (42624).

The spelling of 42641 in words is "forty-two thousand, six hundred forty-one".