217985053 has 32 divisors (see below), whose sum is σ = 269402112. Its totient is φ = 173553600.

The previous prime is 217985039. The next prime is 217985057. The reversal of 217985053 is 350589712.

It is not a de Polignac number, because 217985053 - 2¹³ = 217976861 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 217984997 and 217985015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217985057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628026 + ... + 628372.

It is an arithmetic number, because the mean of its divisors is an integer number (8418816).

Almost surely, 2^217985053 is an apocalyptic number.

217985053 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

217985053 is a deficient number, since it is larger than the sum of its proper divisors (51417059).

217985053 is a wasteful number, since it uses less digits than its factorization.

217985053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585.

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 217985053 is about 14764.3168822672. The cubic root of 217985053 is about 601.8324101286.

The spelling of 217985053 in words is "two hundred seventeen million, nine hundred eighty-five thousand, fifty-three".