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48541 is a prime number
BaseRepresentation
bin1011110110011101
32110120211
423312131
53023131
61012421
7261343
oct136635
973524
1048541
1133519
1224111
131912c
1413993
15e5b1
hexbd9d

48541 has 2 divisors, whose sum is σ = 48542. Its totient is φ = 48540.

The previous prime is 48539. The next prime is 48563. The reversal of 48541 is 14584.

It is an a-pointer prime, because the next prime (48563) can be obtained adding 48541 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27225 + 21316 = 165^2 + 146^2 .

It is a cyclic number.

It is not a de Polignac number, because 48541 - 21 = 48539 is a prime.

Together with 48539, it forms a pair of twin primes.

48541 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (48571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24270 + 24271.

It is an arithmetic number, because the mean of its divisors is an integer number (24271).

248541 is an apocalyptic number.

It is an amenable number.

48541 is a deficient number, since it is larger than the sum of its proper divisors (1).

48541 is an equidigital number, since it uses as much as digits as its factorization.

48541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 640, while the sum is 22.

The square root of 48541 is about 220.3202214959. The cubic root of 48541 is about 36.4784385072.

The spelling of 48541 in words is "forty-eight thousand, five hundred forty-one".