2117829 has 12 divisors (see below), whose sum is σ = 3285024. Its totient is φ = 1210104.

The previous prime is 2117821. The next prime is 2117833. The reversal of 2117829 is 9287112.

It is not a de Polignac number, because 2117829 - 2³ = 2117821 is a prime.

It is a Curzon number.

2117829 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2117796 and 2117805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117821) 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 11 ways as a sum of consecutive naturals, for example, 7057 + ... + 7350.

It is an arithmetic number, because the mean of its divisors is an integer number (273752).

2^2117829 is an apocalyptic number.

It is an amenable number.

2117829 is a deficient number, since it is larger than the sum of its proper divisors (1167195).

2117829 is a wasteful number, since it uses less digits than its factorization.

2117829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14424 (or 14417 counting only the distinct ones).

The product of its digits is 2016, while the sum is 30.

The square root of 2117829 is about 1455.2762624327. The cubic root of 2117829 is about 128.4192996096.

The spelling of 2117829 in words is "two million, one hundred seventeen thousand, eight hundred twenty-nine".