821142701 has 2 divisors, whose sum is σ = 821142702. Its totient is φ = 821142700.

The previous prime is 821142697. The next prime is 821142713. The reversal of 821142701 is 107241128.

821142701 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 682515625 + 138627076 = 26125^2 + 11774^2 .

It is a cyclic number.

It is not a de Polignac number, because 821142701 - 2² = 821142697 is a prime.

It is equal to p_42177320 and since 821142701 and 42177320 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (821142731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410571350 + 410571351.

It is an arithmetic number, because the mean of its divisors is an integer number (410571351).

Almost surely, 2^821142701 is an apocalyptic number.

It is an amenable number.

821142701 is a deficient number, since it is larger than the sum of its proper divisors (1).

821142701 is an equidigital number, since it uses as much as digits as its factorization.

821142701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 821142701 is about 28655.5876052124. The cubic root of 821142701 is about 936.4247397353.

Adding to 821142701 its reverse (107241128), we get a palindrome (928383829).

The spelling of 821142701 in words is "eight hundred twenty-one million, one hundred forty-two thousand, seven hundred one".