820133907 has 16 divisors (see below), whose sum is σ = 1158585120. Its totient is φ = 514260992.

The previous prime is 820133887. The next prime is 820133981. The reversal of 820133907 is 709331028.

It is a cyclic number.

It is not a de Polignac number, because 820133907 - 2¹⁰ = 820132883 is a prime.

It is a super-2 number, since 2×820133907² = 1345239250822169298, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (820153907) 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, 92083 + ... + 100595.

It is an arithmetic number, because the mean of its divisors is an integer number (72411570).

Almost surely, 2^820133907 is an apocalyptic number.

820133907 is a deficient number, since it is larger than the sum of its proper divisors (338451213).

820133907 is a wasteful number, since it uses less digits than its factorization.

820133907 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10422.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 820133907 is about 28637.9801487465. The cubic root of 820133907 is about 936.0411089860.

The spelling of 820133907 in words is "eight hundred twenty million, one hundred thirty-three thousand, nine hundred seven".