84057 has 4 divisors (see below), whose sum is σ = 112080. Its totient is φ = 56036.

The previous prime is 84053. The next prime is 84059. The reversal of 84057 is 75048.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 84057 - 2² = 84053 is a prime.

It is a D-number.

It is not an unprimeable number, because it can be changed into a prime (84053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14007 + ... + 14012.

It is an arithmetic number, because the mean of its divisors is an integer number (28020).

2⁸⁴⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

84057 is a deficient number, since it is larger than the sum of its proper divisors (28023).

84057 is a wasteful number, since it uses less digits than its factorization.

84057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28022.

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 84057 is about 289.9258525899. The cubic root of 84057 is about 43.8050952143.

Subtracting from 84057 its reverse (75048), we obtain a palindrome (9009).

The spelling of 84057 in words is "eighty-four thousand, fifty-seven".