84861 has 16 divisors (see below), whose sum is σ = 144000. Its totient is φ = 48384.

The previous prime is 84859. The next prime is 84869. The reversal of 84861 is 16848.

It is not a de Polignac number, because 84861 - 2¹ = 84859 is a prime.

It is a super-3 number, since 3×84861³ = 1833351297508143, which contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

84861 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36 + ... + 413.

It is an arithmetic number, because the mean of its divisors is an integer number (9000).

2⁸⁴⁸⁶¹ is an apocalyptic number.

It is an amenable number.

84861 is a deficient number, since it is larger than the sum of its proper divisors (59139).

84861 is a wasteful number, since it uses less digits than its factorization.

84861 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 459 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 84861 is about 291.3091141726. The cubic root of 84861 is about 43.9443166130.

It can be divided in two parts, 848 and 61, that added together give a palindrome (909).

The spelling of 84861 in words is "eighty-four thousand, eight hundred sixty-one".