217053984 has 48 divisors (see below), whose sum is σ = 651163968. Its totient is φ = 62015232.

The previous prime is 217053983. The next prime is 217053997. The reversal of 217053984 is 489350712.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×217053984² = 94224863940544512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (217053983) 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 7 ways as a sum of consecutive naturals, for example, 160827 + ... + 162170.

It is an arithmetic number, because the mean of its divisors is an integer number (13565916).

Almost surely, 2^217053984 is an apocalyptic number.

217053984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

217053984 is an abundant number, since it is smaller than the sum of its proper divisors (434109984).

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

217053984 is a wasteful number, since it uses less digits than its factorization.

217053984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323017 (or 323009 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 217053984 is about 14732.7520850654. The cubic root of 217053984 is about 600.9743280627.

The spelling of 217053984 in words is "two hundred seventeen million, fifty-three thousand, nine hundred eighty-four".