84056 has 32 divisors (see below), whose sum is σ = 192000. Its totient is φ = 33696.

The previous prime is 84053. The next prime is 84059. The reversal of 84056 is 65048.

It is an interprime number because it is at equal distance from previous prime (84053) and next prime (84059).

It is a super-2 number, since 2×84056² = 14130822272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84053) 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, 1025 + ... + 1103.

It is an arithmetic number, because the mean of its divisors is an integer number (6000).

2⁸⁴⁰⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96000).

84056 is an abundant number, since it is smaller than the sum of its proper divisors (107944).

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

84056 is a wasteful number, since it uses less digits than its factorization.

84056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 84056 is about 289.9241280059. The cubic root of 84056 is about 43.8049215017.

The spelling of 84056 in words is "eighty-four thousand, fifty-six".