217083120 has 40 divisors (see below), whose sum is σ = 672958416. Its totient is φ = 57888768.

The previous prime is 217083103. The next prime is 217083121. The reversal of 217083120 is 21380712.

217083120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217083121) 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, 452017 + ... + 452496.

Almost surely, 2^217083120 is an apocalyptic number.

217083120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217083120 is an abundant number, since it is smaller than the sum of its proper divisors (455875296).

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

217083120 is a wasteful number, since it uses less digits than its factorization.

217083120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904529 (or 904523 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 217083120 is about 14733.7408691751. The cubic root of 217083120 is about 601.0012172330.

The spelling of 217083120 in words is "two hundred seventeen million, eighty-three thousand, one hundred twenty".