288014841 has 9 divisors (see below), whose sum is σ = 416094991. Its totient is φ = 191975952.

The previous prime is 288014827. The next prime is 288014861. The reversal of 288014841 is 148410882.

It is a happy number.

The square root of 288014841 is 16971.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 28676025 + 259338816 = 5355^2 + 16104^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 288014841 - 2¹⁷ = 287883769 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 288014796 and 288014805.

It is not an unprimeable number, because it can be changed into a prime (288014861) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 48085 + ... + 53741.

Almost surely, 2^288014841 is an apocalyptic number.

288014841 is the 16971-st square number.

288014841 is the 8486-th centered octagonal number.

It is an amenable number.

288014841 is a deficient number, since it is larger than the sum of its proper divisors (128080150).

288014841 is an frugal number, since it uses more digits than its factorization.

288014841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11320 (or 5660 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The cubic root of 288014841 is about 660.3967930800.

Multiplying 288014841 by its sum of digits (36), we get a square (10368534276 = 101826²).

Multiplying 288014841 by its product of nonzero digits (16384), we get a square (4718835154944 = 2172288²).

The spelling of 288014841 in words is "two hundred eighty-eight million, fourteen thousand, eight hundred forty-one".