84728961 has 12 divisors (see below), whose sum is σ = 128827920. Its totient is φ = 53512920.

The previous prime is 84728957. The next prime is 84728971. The reversal of 84728961 is 16982748.

It is not a de Polignac number, because 84728961 - 2² = 84728957 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (84728911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247575 + ... + 247916.

It is an arithmetic number, because the mean of its divisors is an integer number (10735660).

Almost surely, 2^84728961 is an apocalyptic number.

It is an amenable number.

84728961 is a deficient number, since it is larger than the sum of its proper divisors (44098959).

84728961 is a wasteful number, since it uses less digits than its factorization.

84728961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495516 (or 495513 counting only the distinct ones).

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

The square root of 84728961 is about 9204.8335672080. The cubic root of 84728961 is about 439.2151314374.

The spelling of 84728961 in words is "eighty-four million, seven hundred twenty-eight thousand, nine hundred sixty-one".