2117724 has 48 divisors (see below), whose sum is σ = 5983488. Its totient is φ = 569088.

The previous prime is 2117723. The next prime is 2117729. The reversal of 2117724 is 4277112.

2117724 = 511² + 512² + ... + 518².

2117724 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2117694 and 2117703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 687 + ... + 2169.

It is an arithmetic number, because the mean of its divisors is an integer number (124656).

2^2117724 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 2117724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991744).

2117724 is an abundant number, since it is smaller than the sum of its proper divisors (3865764).

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

2117724 is a wasteful number, since it uses less digits than its factorization.

2117724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1512 counting only the distinct ones).

The product of its digits is 784, while the sum is 24.

The square root of 2117724 is about 1455.2401863610. The cubic root of 2117724 is about 128.4171772712.

The spelling of 2117724 in words is "two million, one hundred seventeen thousand, seven hundred twenty-four".