217713120 has 48 divisors (see below), whose sum is σ = 685797840. Its totient is φ = 58056704.

The previous prime is 217713113. The next prime is 217713151. The reversal of 217713120 is 21317712.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226305 + ... + 227264.

It is an arithmetic number, because the mean of its divisors is an integer number (14287455).

Almost surely, 2^217713120 is an apocalyptic number.

217713120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217713120 is an abundant number, since it is smaller than the sum of its proper divisors (468084720).

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

217713120 is a wasteful number, since it uses less digits than its factorization.

217713120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453587 (or 453579 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 217713120 is about 14755.1048793291. The cubic root of 217713120 is about 601.5820471008.

The spelling of 217713120 in words is "two hundred seventeen million, seven hundred thirteen thousand, one hundred twenty".