217987296 has 48 divisors (see below), whose sum is σ = 585535104. Its totient is φ = 70971264.

The previous prime is 217987291. The next prime is 217987309. The reversal of 217987296 is 692789712.

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

It is a super-2 number, since 2×217987296² = 95036922434783232, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217987291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22276 + ... + 30531.

It is an arithmetic number, because the mean of its divisors is an integer number (12198648).

Almost surely, 2^217987296 is an apocalyptic number.

It is an amenable number.

217987296 is an abundant number, since it is smaller than the sum of its proper divisors (367547808).

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

217987296 is a wasteful number, since it uses less digits than its factorization.

217987296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52863 (or 52855 counting only the distinct ones).

The product of its digits is 762048, while the sum is 51.

The square root of 217987296 is about 14764.3928422404. The cubic root of 217987296 is about 601.8344743458.

The spelling of 217987296 in words is "two hundred seventeen million, nine hundred eighty-seven thousand, two hundred ninety-six".