217083132 has 288 divisors, whose sum is σ = 735436800. Its totient is φ = 54867456.

The previous prime is 217083121. The next prime is 217083197. The reversal of 217083132 is 231380712.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 217083096 and 217083105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1709253 + ... + 1709379.

It is an arithmetic number, because the mean of its divisors is an integer number (2553600).

Almost surely, 2^217083132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217083132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367718400).

217083132 is an abundant number, since it is smaller than the sum of its proper divisors (518353668).

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

217083132 is a wasteful number, since it uses less digits than its factorization.

217083132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 217083132 is about 14733.7412764036. The cubic root of 217083132 is about 601.0012283071.

The spelling of 217083132 in words is "two hundred seventeen million, eighty-three thousand, one hundred thirty-two".