287801 has 2 divisors, whose sum is σ = 287802. Its totient is φ = 287800.

The previous prime is 287789. The next prime is 287813. The reversal of 287801 is 108782.

It is a balanced prime because it is at equal distance from previous prime (287789) and next prime (287813).

It can be written as a sum of positive squares in only one way, i.e., 274576 + 13225 = 524^2 + 115^2 .

It is a cyclic number.

It is not a de Polignac number, because 287801 - 2¹⁰ = 286777 is a prime.

It is a Chen prime.

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 287801.

It is not a weakly prime, because it can be changed into another prime (287821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 143900 + 143901.

It is an arithmetic number, because the mean of its divisors is an integer number (143901).

2²⁸⁷⁸⁰¹ is an apocalyptic number.

It is an amenable number.

287801 is a deficient number, since it is larger than the sum of its proper divisors (1).

287801 is an equidigital number, since it uses as much as digits as its factorization.

287801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 287801 is about 536.4708752579. The cubic root of 287801 is about 66.0233312065.

The spelling of 287801 in words is "two hundred eighty-seven thousand, eight hundred one".