84657 has 4 divisors (see below), whose sum is σ = 112880. Its totient is φ = 56436.

The previous prime is 84653. The next prime is 84659. The reversal of 84657 is 75648.

It is a happy number.

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 not a de Polignac number, because 84657 - 2² = 84653 is a prime.

It is a D-number.

It is a Duffinian number.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84657.

It is not an unprimeable number, because it can be changed into a prime (84653) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14107 + ... + 14112.

It is an arithmetic number, because the mean of its divisors is an integer number (28220).

2⁸⁴⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

84657 is a deficient number, since it is larger than the sum of its proper divisors (28223).

84657 is a wasteful number, since it uses less digits than its factorization.

84657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28222.

The product of its digits is 6720, while the sum is 30.

The square root of 84657 is about 290.9587599644. The cubic root of 84657 is about 43.9090753217.

Subtracting from 84657 its reverse (75648), we obtain a palindrome (9009).

It can be divided in two parts, 846 and 57, that added together give a triangular number (903 = T₄₂).

The spelling of 84657 in words is "eighty-four thousand, six hundred fifty-seven".