84958 has 8 divisors (see below), whose sum is σ = 128952. Its totient is φ = 41976.

The previous prime is 84947. The next prime is 84961. The reversal of 84958 is 85948.

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

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

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

84958 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 16 + ... + 412.

It is an arithmetic number, because the mean of its divisors is an integer number (16119).

2⁸⁴⁹⁵⁸ is an apocalyptic number.

84958 is a deficient number, since it is larger than the sum of its proper divisors (43994).

84958 is a wasteful number, since it uses less digits than its factorization.

84958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506.

The product of its digits is 11520, while the sum is 34.

The square root of 84958 is about 291.4755564366. The cubic root of 84958 is about 43.9610536914.

Subtracting 84958 from its reverse (85948), we obtain a triangular number (990 = T₄₄).

The spelling of 84958 in words is "eighty-four thousand, nine hundred fifty-eight".