288966001 has 9 divisors (see below), whose sum is σ = 293787403. Its totient is φ = 284223280.

The previous prime is 288965959. The next prime is 288966023. The reversal of 288966001 is 100669882.

The square root of 288966001 is 16999.

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., 55487601 + 233478400 = 7449^2 + 15280^2 .

It is not a de Polignac number, because 288966001 - 2¹¹ = 288963953 is a prime.

It is a super-3 number, since 3×288966001³ (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288966031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1512816 + ... + 1513006.

Almost surely, 2^288966001 is an apocalyptic number.

288966001 is the 16999-th square number.

288966001 is the 8500-th centered octagonal number.

It is an amenable number.

288966001 is a deficient number, since it is larger than the sum of its proper divisors (4821402).

288966001 is an frugal number, since it uses more digits than its factorization.

288966001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The cubic root of 288966001 is about 661.1229741837.

It can be divided in two parts, 288 and 966001, that added together give a square (966289 = 983²).

The spelling of 288966001 in words is "two hundred eighty-eight million, nine hundred sixty-six thousand, one".