83164 has 12 divisors (see below), whose sum is σ = 154224. Its totient is φ = 39104.

The previous prime is 83137. The next prime is 83177. The reversal of 83164 is 46138.

83164 is nontrivially palindromic in base 3.

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 544 + ... + 679.

It is an arithmetic number, because the mean of its divisors is an integer number (12852).

2⁸³¹⁶⁴ is an apocalyptic number.

It is an amenable number.

83164 is a deficient number, since it is larger than the sum of its proper divisors (71060).

83164 is a wasteful number, since it uses less digits than its factorization.

83164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1242 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 83164 is about 288.3816915132. The cubic root of 83164 is about 43.6494179167.

The spelling of 83164 in words is "eighty-three thousand, one hundred sixty-four".