217880013 has 16 divisors (see below), whose sum is σ = 321310976. Its totient is φ = 130455360.

The previous prime is 217880009. The next prime is 217880021. The reversal of 217880013 is 310088712.

It is a happy number.

It is not a de Polignac number, because 217880013 - 2² = 217880009 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217880023) 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 15 ways as a sum of consecutive naturals, for example, 74053 + ... + 76938.

It is an arithmetic number, because the mean of its divisors is an integer number (20081936).

Almost surely, 2^217880013 is an apocalyptic number.

It is an amenable number.

217880013 is a deficient number, since it is larger than the sum of its proper divisors (103430963).

217880013 is a wasteful number, since it uses less digits than its factorization.

217880013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151044.

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 217880013 is about 14760.7592284408. The cubic root of 217880013 is about 601.7357266906.

The spelling of 217880013 in words is "two hundred seventeen million, eight hundred eighty thousand, thirteen".