859164001921 has 9 divisors (see below), whose sum is σ = 860983664131. Its totient is φ = 857348183272.

The previous prime is 859164001907. The next prime is 859164001939. The reversal of 859164001921 is 129100461958.

It is a happy number.

The square root of 859164001921 is 926911.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 416625066225 + 442538935696 = 645465^2 + 665236^2 .

It is not a de Polignac number, because 859164001921 - 2⁵ = 859164001889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (859164001121) 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 8 ways as a sum of consecutive naturals, for example, 738747486 + ... + 738748648.

Almost surely, 2^859164001921 is an apocalyptic number.

859164001921 is the 926911-st square number.

859164001921 is the 463456-th centered octagonal number.

It is an amenable number.

859164001921 is a deficient number, since it is larger than the sum of its proper divisors (1819662210).

859164001921 is an frugal number, since it uses more digits than its factorization.

859164001921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 46.

The spelling of 859164001921 in words is "eight hundred fifty-nine billion, one hundred sixty-four million, one thousand, nine hundred twenty-one".