164353212 has 120 divisors (see below), whose sum is σ = 464332176. Its totient is φ = 50499072.

The previous prime is 164353201. The next prime is 164353213. The reversal of 164353212 is 212353461.

164353212 is a `hidden beast` number, since 1 + 643 + 5 + 3 + 2 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164353213) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 291643 + ... + 292205.

Almost surely, 2^164353212 is an apocalyptic number.

164353212 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 164353212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232166088).

164353212 is an abundant number, since it is smaller than the sum of its proper divisors (299978964).

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

164353212 is a wasteful number, since it uses less digits than its factorization.

164353212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 638 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 164353212 is about 12820.0316692277. The cubic root of 164353212 is about 547.7630486767.

The spelling of 164353212 in words is "one hundred sixty-four million, three hundred fifty-three thousand, two hundred twelve".