84959 has 8 divisors (see below), whose sum is σ = 99360. Its totient is φ = 71136.

The previous prime is 84947. The next prime is 84961. The reversal of 84959 is 95948.

84959 = 11² + 12² + ... + 63².

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 84959 - 2¹² = 80863 is a prime.

It is a d-powerful number, because it can be written as 8 + 4⁴ + 9 + 5⁷ + 9⁴ .

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84959.

It is not an unprimeable number, because it can be changed into a prime (84919) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257 + ... + 485.

It is an arithmetic number, because the mean of its divisors is an integer number (12420).

2⁸⁴⁹⁵⁹ is an apocalyptic number.

84959 is a deficient number, since it is larger than the sum of its proper divisors (14401).

84959 is a wasteful number, since it uses less digits than its factorization.

84959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289.

The product of its digits is 12960, while the sum is 35.

The square root of 84959 is about 291.4772718412. The cubic root of 84959 is about 43.9612261722.

The spelling of 84959 in words is "eighty-four thousand, nine hundred fifty-nine".