216125 has 32 divisors (see below), whose sum is σ = 349440. Its totient is φ = 129600.

The previous prime is 216119. The next prime is 216127. The reversal of 216125 is 521612.

216125 = 5³ + 6³ + ... + 30³.

It is not a de Polignac number, because 216125 - 2⁶ = 216061 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 216125 = 5³ + 60³ = 45³ + 50³.

It is a Curzon number.

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 216125.

It is not an unprimeable number, because it can be changed into a prime (216127) 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, 11366 + ... + 11384.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

2²¹⁶¹²⁵ is an apocalyptic number.

216125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

216125 is a deficient number, since it is larger than the sum of its proper divisors (133315).

216125 is a wasteful number, since it uses less digits than its factorization.

216125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 44 counting only the distinct ones).

The product of its digits is 120, while the sum is 17.

The square root of 216125 is about 464.8924606831. The cubic root of 216125 is about 60.0115718421.

Adding to 216125 its reverse (521612), we get a palindrome (737737).

It can be divided in two parts, 216 and 125, that multiplied together give a cube (27000 = 30³).

The spelling of 216125 in words is "two hundred sixteen thousand, one hundred twenty-five".