830361133 has 16 divisors (see below), whose sum is σ = 991420416. Its totient is φ = 680465520.

The previous prime is 830361113. The next prime is 830361137. The reversal of 830361133 is 331163038.

It is not a de Polignac number, because 830361133 - 2²⁹ = 293490221 is a prime.

It is a super-2 number, since 2×830361133² = 1378999222394087378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830361137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5041 + ... + 41062.

It is an arithmetic number, because the mean of its divisors is an integer number (61963776).

Almost surely, 2^830361133 is an apocalyptic number.

830361133 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

830361133 is a deficient number, since it is larger than the sum of its proper divisors (161059283).

830361133 is a wasteful number, since it uses less digits than its factorization.

830361133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46224.

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 830361133 is about 28815.9874548834. The cubic root of 830361133 is about 939.9159171055.

The spelling of 830361133 in words is "eight hundred thirty million, three hundred sixty-one thousand, one hundred thirty-three".