288431 has 8 divisors (see below), whose sum is σ = 339024. Its totient is φ = 241920.

The previous prime is 288427. The next prime is 288433. The reversal of 288431 is 134882.

288431 = T₄₄ + T₄₅ + ... + T₁₂₁.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 288431 - 2² = 288427 is a prime.

It is a super-2 number, since 2×288431² = 166384883522, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 12 and base 16.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 288431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 866 + ... + 1151.

It is an arithmetic number, because the mean of its divisors is an integer number (42378).

2²⁸⁸⁴³¹ is an apocalyptic number.

288431 is a deficient number, since it is larger than the sum of its proper divisors (50593).

288431 is a wasteful number, since it uses less digits than its factorization.

288431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041.

The product of its digits is 1536, while the sum is 26.

The square root of 288431 is about 537.0577250166. The cubic root of 288431 is about 66.0714713972.

The spelling of 288431 in words is "two hundred eighty-eight thousand, four hundred thirty-one".