84955 has 8 divisors (see below), whose sum is σ = 109872. Its totient is φ = 62688.

The previous prime is 84947. The next prime is 84961. The reversal of 84955 is 55948.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 84955 - 2³ = 84947 is a prime.

It is a d-powerful number, because it can be written as 8 + 4⁴ + 9⁴ + 5 + 5⁷ .

It is a Duffinian number.

84955 is a lucky number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 589 + ... + 718.

It is an arithmetic number, because the mean of its divisors is an integer number (13734).

2⁸⁴⁹⁵⁵ is an apocalyptic number.

84955 is a deficient number, since it is larger than the sum of its proper divisors (24917).

84955 is a wasteful number, since it uses less digits than its factorization.

84955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325.

The product of its digits is 7200, while the sum is 31.

The square root of 84955 is about 291.4704101620. The cubic root of 84955 is about 43.9605362407.

The spelling of 84955 in words is "eighty-four thousand, nine hundred fifty-five".