84782961 has 12 divisors (see below), whose sum is σ = 129668292. Its totient is φ = 53197056.

The previous prime is 84782953. The next prime is 84782963. The reversal of 84782961 is 16928748.

It can be written as a sum of positive squares in 2 ways, for example, as 58064400 + 26718561 = 7620^2 + 5169^2 .

It is not a de Polignac number, because 84782961 - 2³ = 84782953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84782963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 276916 + ... + 277221.

It is an arithmetic number, because the mean of its divisors is an integer number (10805691).

Almost surely, 2^84782961 is an apocalyptic number.

It is an amenable number.

84782961 is a deficient number, since it is larger than the sum of its proper divisors (44885331).

84782961 is a wasteful number, since it uses less digits than its factorization.

84782961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554160 (or 554157 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 84782961 is about 9207.7663415184. The cubic root of 84782961 is about 439.3084194151.

It can be divided in two parts, 8 and 4782961, that added together give a 14-th power (4782969 = 3¹⁴).

The spelling of 84782961 in words is "eighty-four million, seven hundred eighty-two thousand, nine hundred sixty-one".