288874971 has 64 divisors (see below), whose sum is σ = 546739200. Its totient is φ = 146361600.

The previous prime is 288874969. The next prime is 288874981. The reversal of 288874971 is 179478882.

It is a happy number.

It is not a de Polignac number, because 288874971 - 2¹ = 288874969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (288874951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83545 + ... + 86933.

It is an arithmetic number, because the mean of its divisors is an integer number (8542800).

Almost surely, 2^288874971 is an apocalyptic number.

288874971 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

288874971 is a deficient number, since it is larger than the sum of its proper divisors (257864229).

288874971 is a wasteful number, since it uses less digits than its factorization.

288874971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457 (or 3451 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The square root of 288874971 is about 16996.3222786578. The cubic root of 288874971 is about 661.0535446259.

The spelling of 288874971 in words is "two hundred eighty-eight million, eight hundred seventy-four thousand, nine hundred seventy-one".