164717952 has 128 divisors (see below), whose sum is σ = 504092160. Its totient is φ = 46682112.

The previous prime is 164717933. The next prime is 164717983. The reversal of 164717952 is 259717461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×164717952² = 54264007422148608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626173 + ... + 626435.

It is an arithmetic number, because the mean of its divisors is an integer number (3938220).

Almost surely, 2^164717952 is an apocalyptic number.

164717952 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 164717952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252046080).

164717952 is an abundant number, since it is smaller than the sum of its proper divisors (339374208).

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

164717952 is a wasteful number, since it uses less digits than its factorization.

164717952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 508 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 164717952 is about 12834.2491794417. The cubic root of 164717952 is about 548.1679560482.

The spelling of 164717952 in words is "one hundred sixty-four million, seven hundred seventeen thousand, nine hundred fifty-two".