84983784382225 has 27 divisors (see below), whose sum is σ = 109140701787507. Its totient is φ = 65641614756480.

The previous prime is 84983784382223. The next prime is 84983784382241. The reversal of 84983784382225 is 52228348738948.

The square root of 84983784382225 is 9218665.

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

It can be written as a sum of positive squares in 13 ways, for example, as 7818382122769 + 77165402259456 = 2796137^2 + 8784384^2 .

It is not a de Polignac number, because 84983784382225 - 2¹ = 84983784382223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84983784382223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1336674637 + ... + 1336738213.

Almost surely, 2^{84983784382225} is an apocalyptic number.

84983784382225 is the 9218665-th square number.

84983784382225 is the 4609333-rd centered octagonal number.

It is an amenable number.

84983784382225 is a deficient number, since it is larger than the sum of its proper divisors (24156917405282).

84983784382225 is an frugal number, since it uses more digits than its factorization.

84983784382225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127222 (or 63611 counting only the distinct ones).

The product of its digits is 1486356480, while the sum is 73.

The spelling of 84983784382225 in words is "eighty-four trillion, nine hundred eighty-three billion, seven hundred eighty-four million, three hundred eighty-two thousand, two hundred twenty-five".