288985761 has 12 divisors (see below), whose sum is σ = 421477888. Its totient is φ = 190786104.

The previous prime is 288985747. The next prime is 288985769. The reversal of 288985761 is 167589882.

It is not a de Polignac number, because 288985761 - 2⁷ = 288985633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 288985698 and 288985707.

It is not an unprimeable number, because it can be changed into a prime (288985769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154945 + ... + 156798.

Almost surely, 2^288985761 is an apocalyptic number.

It is an amenable number.

288985761 is a deficient number, since it is larger than the sum of its proper divisors (132492127).

288985761 is a wasteful number, since it uses less digits than its factorization.

288985761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311852 (or 311849 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The square root of 288985761 is about 16999.5812007237. The cubic root of 288985761 is about 661.1380434215.

It can be divided in two parts, 288 and 985761, that added together give a square (986049 = 993²).

The spelling of 288985761 in words is "two hundred eighty-eight million, nine hundred eighty-five thousand, seven hundred sixty-one".