278801 has 2 divisors, whose sum is σ = 278802. Its totient is φ = 278800.

The previous prime is 278767. The next prime is 278807. The reversal of 278801 is 108872.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 274576 + 4225 = 524^2 + 65^2 .

It is a cyclic number.

It is not a de Polignac number, because 278801 - 2¹⁸ = 16657 is a prime.

It is a Chen prime.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 278801.

It is not a weakly prime, because it can be changed into another prime (278807) 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, 139400 + 139401.

It is an arithmetic number, because the mean of its divisors is an integer number (139401).

2²⁷⁸⁸⁰¹ is an apocalyptic number.

It is an amenable number.

278801 is a deficient number, since it is larger than the sum of its proper divisors (1).

278801 is an equidigital number, since it uses as much as digits as its factorization.

278801 is an odious number, because the sum of its binary digits is odd.

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

The square root of 278801 is about 528.0160982394. The cubic root of 278801 is about 65.3278114404.

The spelling of 278801 in words is "two hundred seventy-eight thousand, eight hundred one".