87149 has 2 divisors, whose sum is σ = 87150. Its totient is φ = 87148.

The previous prime is 87133. The next prime is 87151. The reversal of 87149 is 94178.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62500 + 24649 = 250^2 + 157^2 .

It is a cyclic number.

It is not a de Polignac number, because 87149 - 2⁴ = 87133 is a prime.

It is a Sophie Germain prime.

Together with 87151, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87149.

It is not a weakly prime, because it can be changed into another prime (87119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43574 + 43575.

It is an arithmetic number, because the mean of its divisors is an integer number (43575).

2⁸⁷¹⁴⁹ is an apocalyptic number.

It is an amenable number.

87149 is a deficient number, since it is larger than the sum of its proper divisors (1).

87149 is an equidigital number, since it uses as much as digits as its factorization.

87149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 29.

The square root of 87149 is about 295.2100946783. The cubic root of 87149 is about 44.3357578086.

Adding to 87149 its sum of digits (29), we get a palindrome (87178).

The spelling of 87149 in words is "eighty-seven thousand, one hundred forty-nine".