84583961 has 24 divisors (see below), whose sum is σ = 109166400. Its totient is φ = 64104480.

The previous prime is 84583931. The next prime is 84583963. The reversal of 84583961 is 16938548.

It is not a de Polignac number, because 84583961 - 2⁶ = 84583897 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (84583963) 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 23 ways as a sum of consecutive naturals, for example, 29990 + ... + 32688.

It is an arithmetic number, because the mean of its divisors is an integer number (4548600).

Almost surely, 2^84583961 is an apocalyptic number.

It is an amenable number.

84583961 is a deficient number, since it is larger than the sum of its proper divisors (24582439).

84583961 is a wasteful number, since it uses less digits than its factorization.

84583961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2754 counting only the distinct ones).

The product of its digits is 207360, while the sum is 44.

The square root of 84583961 is about 9196.9538978947. The cubic root of 84583961 is about 438.9644396730.

The spelling of 84583961 in words is "eighty-four million, five hundred eighty-three thousand, nine hundred sixty-one".