920829 has 16 divisors (see below), whose sum is σ = 1511552. Its totient is φ = 485568.

The previous prime is 920827. The next prime is 920833. The reversal of 920829 is 928029.

It is not a de Polignac number, because 920829 - 2¹ = 920827 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

920829 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 920796 and 920805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920827) 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, 1414 + ... + 1959.

It is an arithmetic number, because the mean of its divisors is an integer number (94472).

2⁹²⁰⁸²⁹ is an apocalyptic number.

It is an amenable number.

920829 is a deficient number, since it is larger than the sum of its proper divisors (590723).

920829 is a wasteful number, since it uses less digits than its factorization.

920829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 920829 is about 959.5983534792. The cubic root of 920829 is about 97.2880867553.

The spelling of 920829 in words is "nine hundred twenty thousand, eight hundred twenty-nine".