84803846521 has 9 divisors (see below), whose sum is σ = 85514144751. Its totient is φ = 84099407112.

The previous prime is 84803846509. The next prime is 84803846527. The reversal of 84803846521 is 12564830848.

The square root of 84803846521 is 291211.

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., 24600354025 + 60203492496 = 156845^2 + 245364^2 .

It is a de Polignac number, because none of the positive numbers 2^k-84803846521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84803846527) 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 8 ways as a sum of consecutive naturals, for example, 36982651 + ... + 36984943.

It is an arithmetic number, because the mean of its divisors is an integer number (9501571639).

Almost surely, 2^84803846521 is an apocalyptic number.

84803846521 is the 291211-st square number.

84803846521 is the 145606-th centered octagonal number.

It is an amenable number.

84803846521 is a deficient number, since it is larger than the sum of its proper divisors (710298230).

84803846521 is an frugal number, since it uses more digits than its factorization.

84803846521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

Multiplying 84803846521 by its sum of digits (49), we get a square (4155388479529 = 2038477²).

The spelling of 84803846521 in words is "eighty-four billion, eight hundred three million, eight hundred forty-six thousand, five hundred twenty-one".