830819121 has 48 divisors (see below), whose sum is σ = 1313008704. Its totient is φ = 461824000.

The previous prime is 830819117. The next prime is 830819159. The reversal of 830819121 is 121918038.

It is not a de Polignac number, because 830819121 - 2² = 830819117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (830819191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 942601 + ... + 943481.

It is an arithmetic number, because the mean of its divisors is an integer number (27354348).

Almost surely, 2^830819121 is an apocalyptic number.

It is an amenable number.

830819121 is a deficient number, since it is larger than the sum of its proper divisors (482189583).

830819121 is a wasteful number, since it uses less digits than its factorization.

830819121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 830819121 is about 28823.9331285652. The cubic root of 830819121 is about 940.0886897607.

The spelling of 830819121 in words is "eight hundred thirty million, eight hundred nineteen thousand, one hundred twenty-one".