164970 has 64 divisors (see below), whose sum is σ = 483840. Its totient is φ = 39744.

The previous prime is 164963. The next prime is 164987. The reversal of 164970 is 79461.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

164970 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3487 + ... + 3533.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2¹⁶⁴⁹⁷⁰ is an apocalyptic number.

164970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920).

164970 is an abundant number, since it is smaller than the sum of its proper divisors (318870).

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

164970 is a wasteful number, since it uses less digits than its factorization.

164970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 164970 is about 406.1649911058. The cubic root of 164970 is about 54.8447411977.

The spelling of 164970 in words is "one hundred sixty-four thousand, nine hundred seventy".