164948 has 24 divisors (see below), whose sum is σ = 340032. Its totient is φ = 68544.

The previous prime is 164911. The next prime is 164953. The reversal of 164948 is 849461.

It is a congruent number.

It is an unprimeable number.

164948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1136 + ... + 1272.

It is an arithmetic number, because the mean of its divisors is an integer number (14168).

2¹⁶⁴⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170016).

164948 is an abundant number, since it is smaller than the sum of its proper divisors (175084).

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

164948 is a wasteful number, since it uses less digits than its factorization.

164948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 189 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 164948 is about 406.1379076127. The cubic root of 164948 is about 54.8423031020.

The spelling of 164948 in words is "one hundred sixty-four thousand, nine hundred forty-eight".