821014107 has 8 divisors (see below), whose sum is σ = 1097787984. Its totient is φ = 545791488.

The previous prime is 821014097. The next prime is 821014121. The reversal of 821014107 is 701410128.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 821014107 - 2¹² = 821010011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (821012107) 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 7 ways as a sum of consecutive naturals, for example, 386578 + ... + 388695.

It is an arithmetic number, because the mean of its divisors is an integer number (137223498).

Almost surely, 2^821014107 is an apocalyptic number.

821014107 is a deficient number, since it is larger than the sum of its proper divisors (276773877).

821014107 is a wasteful number, since it uses less digits than its factorization.

821014107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775629.

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 821014107 is about 28653.3437315787. The cubic root of 821014107 is about 936.3758546514.

It can be divided in two parts, 821014 and 107, that added together give a triangular number (821121 = T₁₂₈₁).

The spelling of 821014107 in words is "eight hundred twenty-one million, fourteen thousand, one hundred seven".