84315 has 32 divisors (see below), whose sum is σ = 170496. Its totient is φ = 34560.

The previous prime is 84313. The next prime is 84317. The reversal of 84315 is 51348.

84315 = 71² + 72² + ... + 84².

It is an interprime number because it is at equal distance from previous prime (84313) and next prime (84317).

It is not a de Polignac number, because 84315 - 2¹ = 84313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 84291 and 84300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1119 + ... + 1191.

It is an arithmetic number, because the mean of its divisors is an integer number (5328).

2⁸⁴³¹⁵ is an apocalyptic number.

84315 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85248).

84315 is a wasteful number, since it uses less digits than its factorization.

84315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99.

The product of its digits is 480, while the sum is 21.

The square root of 84315 is about 290.3704530423. The cubic root of 84315 is about 43.8498671003.

It can be divided in two parts, 843 and 15, that added together give a palindrome (858).

The spelling of 84315 in words is "eighty-four thousand, three hundred fifteen".