84945 has 16 divisors (see below), whose sum is σ = 155520. Its totient is φ = 38784.

The previous prime is 84919. The next prime is 84947. The reversal of 84945 is 54948.

84945 = 60² + 61² + ... + 77².

It is not a de Polignac number, because 84945 - 2⁵ = 84913 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (84947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300 + ... + 509.

It is an arithmetic number, because the mean of its divisors is an integer number (9720).

2⁸⁴⁹⁴⁵ is an apocalyptic number.

It is an amenable number.

84945 is a deficient number, since it is larger than the sum of its proper divisors (70575).

84945 is a wasteful number, since it uses less digits than its factorization.

84945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824.

The product of its digits is 5760, while the sum is 30.

The square root of 84945 is about 291.4532552572. The cubic root of 84945 is about 43.9588113173.

The spelling of 84945 in words is "eighty-four thousand, nine hundred forty-five".