164531024 has 30 divisors (see below), whose sum is σ = 370826154. Its totient is φ = 70512960.

The previous prime is 164531021. The next prime is 164531041. The reversal of 164531024 is 420135461.

It can be written as a sum of positive squares in only one way, i.e., 135024400 + 29506624 = 11620^2 + 5432^2 .

It is a junction number, because it is equal to n+sod(n) for n = 164530984 and 164531002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164531021) 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 5 ways as a sum of consecutive naturals, for example, 104147 + ... + 105714.

Almost surely, 2^164531024 is an apocalyptic number.

164531024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164531024 is an abundant number, since it is smaller than the sum of its proper divisors (206295130).

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

164531024 is a wasteful number, since it uses less digits than its factorization.

164531024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209883 (or 209870 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 164531024 is about 12826.9647228017. The cubic root of 164531024 is about 547.9605171618.

Adding to 164531024 its reverse (420135461), we get a palindrome (584666485).

The spelling of 164531024 in words is "one hundred sixty-four million, five hundred thirty-one thousand, twenty-four".