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87541 is a prime number
BaseRepresentation
bin10101010111110101
311110002021
4111113311
510300131
61513141
7513136
oct252765
9143067
1087541
115a853
12427b1
1330acc
1423c8d
151ae11
hex155f5

87541 has 2 divisors, whose sum is σ = 87542. Its totient is φ = 87540.

The previous prime is 87539. The next prime is 87547. The reversal of 87541 is 14578.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 14641 = 270^2 + 121^2 .

It is a cyclic number.

It is not a de Polignac number, because 87541 - 21 = 87539 is a prime.

Together with 87539, it forms a pair of twin primes.

It is a nialpdrome in base 10.

It is a zygodrome in base 4.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (87547) 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, 43770 + 43771.

It is an arithmetic number, because the mean of its divisors is an integer number (43771).

287541 is an apocalyptic number.

It is an amenable number.

87541 is a deficient number, since it is larger than the sum of its proper divisors (1).

87541 is an equidigital number, since it uses as much as digits as its factorization.

87541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1120, while the sum is 25.

The square root of 87541 is about 295.8732836875. The cubic root of 87541 is about 44.4021331118.

The spelling of 87541 in words is "eighty-seven thousand, five hundred forty-one".