164293932 has 96 divisors (see below), whose sum is σ = 436907520. Its totient is φ = 47595520.

The previous prime is 164293907. The next prime is 164293939. The reversal of 164293932 is 239392461.

164293932 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (164293939) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 639148 + ... + 639404.

It is an arithmetic number, because the mean of its divisors is an integer number (4551120).

Almost surely, 2^164293932 is an apocalyptic number.

164293932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164293932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218453760).

164293932 is an abundant number, since it is smaller than the sum of its proper divisors (272613588).

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

164293932 is a wasteful number, since it uses less digits than its factorization.

164293932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 469 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 164293932 is about 12817.7194539434. The cubic root of 164293932 is about 547.6971838280.

The spelling of 164293932 in words is "one hundred sixty-four million, two hundred ninety-three thousand, nine hundred thirty-two".