164321000 has 32 divisors (see below), whose sum is σ = 384513480. Its totient is φ = 65728000.

The previous prime is 164320999. The next prime is 164321023. The reversal of 164321000 is 123461.

It can be written as a sum of positive squares in 4 ways, for example, as 11600836 + 152720164 = 3406^2 + 12358^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 164321000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81161 + ... + 83160.

Almost surely, 2^164321000 is an apocalyptic number.

164321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164321000 is an abundant number, since it is smaller than the sum of its proper divisors (220192480).

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

164321000 is a wasteful number, since it uses less digits than its factorization.

164321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164342 (or 164328 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 164321000 is about 12818.7752925153. The cubic root of 164321000 is about 547.7272605186.

Adding to 164321000 its reverse (123461), we get a palindrome (164444461).

The spelling of 164321000 in words is "one hundred sixty-four million, three hundred twenty-one thousand".