164317820 has 24 divisors (see below), whose sum is σ = 348125904. Its totient is φ = 65144576.

The previous prime is 164317793. The next prime is 164317823. The reversal of 164317820 is 28713461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164317823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34094 + ... + 38613.

It is an arithmetic number, because the mean of its divisors is an integer number (14505246).

Almost surely, 2^164317820 is an apocalyptic number.

164317820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164317820 is an abundant number, since it is smaller than the sum of its proper divisors (183808084).

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

164317820 is a wasteful number, since it uses less digits than its factorization.

164317820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72829 (or 72827 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 164317820 is about 12818.6512551048. The cubic root of 164317820 is about 547.7237272232.

The spelling of 164317820 in words is "one hundred sixty-four million, three hundred seventeen thousand, eight hundred twenty".