920829147 has 16 divisors (see below), whose sum is σ = 1403592960. Its totient is φ = 526028832.

The previous prime is 920829139. The next prime is 920829179. The reversal of 920829147 is 741928029.

It is not a de Polignac number, because 920829147 - 2³ = 920829139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 920829099 and 920829108.

It is not an unprimeable number, because it can be changed into a prime (920829137) 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 15 ways as a sum of consecutive naturals, for example, 126729 + ... + 133797.

It is an arithmetic number, because the mean of its divisors is an integer number (87724560).

Almost surely, 2^920829147 is an apocalyptic number.

920829147 is a deficient number, since it is larger than the sum of its proper divisors (482763813).

920829147 is a wasteful number, since it uses less digits than its factorization.

920829147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13282.

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 920829147 is about 30345.1667815486. The cubic root of 920829147 is about 972.8809193232.

The spelling of 920829147 in words is "nine hundred twenty million, eight hundred twenty-nine thousand, one hundred forty-seven".