164287032 has 64 divisors (see below), whose sum is σ = 505505280. Its totient is φ = 43327872.

The previous prime is 164287009. The next prime is 164287033. The reversal of 164287032 is 230782461.

164287032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 164286984 and 164287002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164287033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35428 + ... + 39795.

It is an arithmetic number, because the mean of its divisors is an integer number (7898520).

Almost surely, 2^164287032 is an apocalyptic number.

164287032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164287032 is an abundant number, since it is smaller than the sum of its proper divisors (341218248).

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

164287032 is a wasteful number, since it uses less digits than its factorization.

164287032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75252 (or 75248 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 164287032 is about 12817.4502924724. The cubic root of 164287032 is about 547.6895163436.

The spelling of 164287032 in words is "one hundred sixty-four million, two hundred eighty-seven thousand, thirty-two".