247065984 has 256 divisors, whose sum is σ = 815673600. Its totient is φ = 72990720.

The previous prime is 247065961. The next prime is 247066007. The reversal of 247065984 is 489560742.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (247065961) and next prime (247066007).

It is a super-2 number, since 2×247065984² = 122083200899776512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2547024 + ... + 2547120.

It is an arithmetic number, because the mean of its divisors is an integer number (3186225).

Almost surely, 2^247065984 is an apocalyptic number.

247065984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247065984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407836800).

247065984 is an abundant number, since it is smaller than the sum of its proper divisors (568607616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

247065984 is a wasteful number, since it uses less digits than its factorization.

247065984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 247065984 is about 15718.3327360124. The cubic root of 247065984 is about 627.4864017201.

The spelling of 247065984 in words is "two hundred forty-seven million, sixty-five thousand, nine hundred eighty-four".