164509731 has 32 divisors (see below), whose sum is σ = 269291520. Its totient is φ = 98727552.

The previous prime is 164509711. The next prime is 164509739. The reversal of 164509731 is 137905461.

164509731 is a `hidden beast` number, since 1 + 645 + 0 + 9 + 7 + 3 + 1 = 666.

It is not a de Polignac number, because 164509731 - 2⁵ = 164509699 is a prime.

It is a super-2 number, since 2×164509731² = 54126903187384722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164509739) 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 31 ways as a sum of consecutive naturals, for example, 2766 + ... + 18348.

It is an arithmetic number, because the mean of its divisors is an integer number (8415360).

Almost surely, 2^164509731 is an apocalyptic number.

164509731 is a deficient number, since it is larger than the sum of its proper divisors (104781789).

164509731 is a wasteful number, since it uses less digits than its factorization.

164509731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15632 (or 15626 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 164509731 is about 12826.1346866466. The cubic root of 164509731 is about 547.9368777970.

The spelling of 164509731 in words is "one hundred sixty-four million, five hundred nine thousand, seven hundred thirty-one".