2116125 has 80 divisors (see below), whose sum is σ = 4530240. Its totient is φ = 972000.

The previous prime is 2116123. The next prime is 2116129. The reversal of 2116125 is 5216112.

It is not a de Polignac number, because 2116125 - 2¹ = 2116123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2116098 and 2116107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116123) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 111366 + ... + 111384.

It is an arithmetic number, because the mean of its divisors is an integer number (56628).

2^2116125 is an apocalyptic number.

2116125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2116125 is an abundant number, since it is smaller than the sum of its proper divisors (2414115).

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

2116125 is a wasteful number, since it uses less digits than its factorization.

2116125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 38 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 2116125 is about 1454.6906887720. The cubic root of 2116125 is about 128.3848484174.

It can be divided in two parts, 211 and 6125, that added together give a palindrome (6336).

The spelling of 2116125 in words is "two million, one hundred sixteen thousand, one hundred twenty-five".