84164 has 12 divisors (see below), whose sum is σ = 150444. Its totient is φ = 41184.

The previous prime is 84163. The next prime is 84179. The reversal of 84164 is 46148.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 58564 + 25600 = 242^2 + 160^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84163) 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, 14 + ... + 410.

It is an arithmetic number, because the mean of its divisors is an integer number (12537).

2⁸⁴¹⁶⁴ is an apocalyptic number.

It is an amenable number.

84164 is a deficient number, since it is larger than the sum of its proper divisors (66280).

84164 is a wasteful number, since it uses less digits than its factorization.

84164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 452 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 84164 is about 290.1103238425. The cubic root of 84164 is about 43.8236745028.

It can be divided in two parts, 841 and 64, that multiplied together give a square (53824 = 232²).

The spelling of 84164 in words is "eighty-four thousand, one hundred sixty-four".