2072829 has 16 divisors (see below), whose sum is σ = 3147264. Its totient is φ = 1201200.

The previous prime is 2072821. The next prime is 2072831. The reversal of 2072829 is 9282702.

It is not a de Polignac number, because 2072829 - 2³ = 2072821 is a prime.

It is a super-3 number, since 3×2072829³ = 26718476007203336367, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2072796 and 2072805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 607 + ... + 2124.

It is an arithmetic number, because the mean of its divisors is an integer number (196704).

2^2072829 is an apocalyptic number.

It is an amenable number.

2072829 is a deficient number, since it is larger than the sum of its proper divisors (1074435).

2072829 is a wasteful number, since it uses less digits than its factorization.

2072829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2072829 is about 1439.7322667774. The cubic root of 2072829 is about 127.5032217563.

The spelling of 2072829 in words is "two million, seventy-two thousand, eight hundred twenty-nine".