164934 has 72 divisors (see below), whose sum is σ = 480168. Its totient is φ = 40320.

The previous prime is 164911. The next prime is 164953. The reversal of 164934 is 439461.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 164898 and 164907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9694 + ... + 9710.

It is an arithmetic number, because the mean of its divisors is an integer number (6669).

2¹⁶⁴⁹³⁴ is an apocalyptic number.

164934 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240084).

164934 is an abundant number, since it is smaller than the sum of its proper divisors (315234).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164934 is a wasteful number, since it uses less digits than its factorization.

164934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 40 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 164934 is about 406.1206717221. The cubic root of 164934 is about 54.8407514736.

It can be divided in two parts, 16 and 4934, that added together give a triangular number (4950 = T₉₉).

The spelling of 164934 in words is "one hundred sixty-four thousand, nine hundred thirty-four".