87041 has 2 divisors, whose sum is σ = 87042. Its totient is φ = 87040.

The previous prime is 87037. The next prime is 87049. The reversal of 87041 is 14078.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87025 + 16 = 295^2 + 4^2 .

It is a cyclic number.

It is not a de Polignac number, because 87041 - 2² = 87037 is a prime.

It is a super-2 number, since 2×87041² = 15152271362, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87041.

It is not a weakly prime, because it can be changed into another prime (87049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43520 + 43521.

It is an arithmetic number, because the mean of its divisors is an integer number (43521).

It is a Proth number, since it is equal to 85 ⋅ 2¹⁰ + 1 and 85 < 2¹⁰.

2⁸⁷⁰⁴¹ is an apocalyptic number.

It is an amenable number.

87041 is a deficient number, since it is larger than the sum of its proper divisors (1).

87041 is an equidigital number, since it uses as much as digits as its factorization.

87041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 87041 is about 295.0271173977. The cubic root of 87041 is about 44.3174357733.

The spelling of 87041 in words is "eighty-seven thousand, forty-one".