830106972 has 36 divisors (see below), whose sum is σ = 2100440160. Its totient is φ = 276423552.

The previous prime is 830106967. The next prime is 830107009. The reversal of 830106972 is 279601038.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 26308 + ... + 48500.

It is an arithmetic number, because the mean of its divisors is an integer number (58345560).

Almost surely, 2^830106972 is an apocalyptic number.

It is an amenable number.

830106972 is an abundant number, since it is smaller than the sum of its proper divisors (1270333188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

830106972 is a wasteful number, since it uses less digits than its factorization.

830106972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23242 (or 23237 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 830106972 is about 28811.5770481242. The cubic root of 830106972 is about 939.8200092980.

The spelling of 830106972 in words is "eight hundred thirty million, one hundred six thousand, nine hundred seventy-two".