920564829 has 12 divisors (see below), whose sum is σ = 1331225532. Its totient is φ = 613008000.

The previous prime is 920564819. The next prime is 920564833. The reversal of 920564829 is 928465029.

920564829 is a `hidden beast` number, since 9 + 2 + 0 + 564 + 82 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68508729 + 852056100 = 8277^2 + 29190^2 .

It is not a de Polignac number, because 920564829 - 2⁹ = 920564317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920564819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50122 + ... + 65979.

It is an arithmetic number, because the mean of its divisors is an integer number (110935461).

Almost surely, 2^920564829 is an apocalyptic number.

It is an amenable number.

920564829 is a deficient number, since it is larger than the sum of its proper divisors (410660703).

920564829 is a wasteful number, since it uses less digits than its factorization.

920564829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116988 (or 116985 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 920564829 is about 30340.8112778812. The cubic root of 920564829 is about 972.7878240412.

The spelling of 920564829 in words is "nine hundred twenty million, five hundred sixty-four thousand, eight hundred twenty-nine".