84972833001 has 75 divisors (see below), whose sum is σ = 148306067943. Its totient is φ = 48482446320.

The previous prime is 84972832993. The next prime is 84972833027. The reversal of 84972833001 is 10033827948.

The square root of 84972833001 is 291501.

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., 67469543001 + 17503290000 = 259749^2 + 132300^2 .

It is not a de Polignac number, because 84972833001 - 2³ = 84972832993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84972833801) by changing a digit.

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 74 ways as a sum of consecutive naturals, for example, 128551611 + ... + 128552271.

Almost surely, 2^84972833001 is an apocalyptic number.

84972833001 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

84972833001 is the 291501-st square number.

84972833001 is the 145751-st centered octagonal number.

It is an amenable number.

84972833001 is a deficient number, since it is larger than the sum of its proper divisors (63333234942).

84972833001 is an frugal number, since it uses more digits than its factorization.

84972833001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 84972833001 in words is "eighty-four billion, nine hundred seventy-two million, eight hundred thirty-three thousand, one".