217925 has 12 divisors (see below), whose sum is σ = 282720. Its totient is φ = 166320.

The previous prime is 217909. The next prime is 217933. The reversal of 217925 is 529712.

217925 = T₁₂₆ + T₁₂₇ + ... + T₁₄₈.

217925 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 217925 - 2⁴ = 217909 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 217894 and 217903.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 217925.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 386 + ... + 764.

It is an arithmetic number, because the mean of its divisors is an integer number (23560).

2²¹⁷⁹²⁵ is an apocalyptic number.

217925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

217925 is a deficient number, since it is larger than the sum of its proper divisors (64795).

217925 is a wasteful number, since it uses less digits than its factorization.

217925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 407 counting only the distinct ones).

The product of its digits is 1260, while the sum is 26.

The square root of 217925 is about 466.8243781124. The cubic root of 217925 is about 60.1777138508.

The spelling of 217925 in words is "two hundred seventeen thousand, nine hundred twenty-five".