2153829 has 8 divisors (see below), whose sum is σ = 2881440. Its totient is φ = 1431056.

The previous prime is 2153819. The next prime is 2153839. The reversal of 2153829 is 9283512.

It is a happy number.

2153829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2153819) and next prime (2153839).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2153829 - 2⁴ = 2153813 is a prime.

It is a super-2 number, since 2×2153829² = 9277958722482, which contains 22 as substring.

2153829 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2153796 and 2153805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7 + ... + 2075.

It is an arithmetic number, because the mean of its divisors is an integer number (360180).

2^2153829 is an apocalyptic number.

It is an amenable number.

2153829 is a deficient number, since it is larger than the sum of its proper divisors (727611).

2153829 is a wasteful number, since it uses less digits than its factorization.

2153829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419.

The product of its digits is 4320, while the sum is 30.

The square root of 2153829 is about 1467.5929272111. The cubic root of 2153829 is about 129.1428619793.

The spelling of 2153829 in words is "two million, one hundred fifty-three thousand, eight hundred twenty-nine".