164917233 has 12 divisors (see below), whose sum is σ = 256538100. Its totient is φ = 101487456.

The previous prime is 164917201. The next prime is 164917237. The reversal of 164917233 is 332719461.

164917233 is a `hidden beast` number, since 1 + 649 + 1 + 7 + 2 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47238129 + 117679104 = 6873^2 + 10848^2 .

It is not a de Polignac number, because 164917233 - 2⁵ = 164917201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164917237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 704658 + ... + 704891.

It is an arithmetic number, because the mean of its divisors is an integer number (21378175).

Almost surely, 2^164917233 is an apocalyptic number.

164917233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

164917233 is a deficient number, since it is larger than the sum of its proper divisors (91620867).

164917233 is a wasteful number, since it uses less digits than its factorization.

164917233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409568 (or 1409565 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 164917233 is about 12842.0104734422. The cubic root of 164917233 is about 548.3889306150.

The spelling of 164917233 in words is "one hundred sixty-four million, nine hundred seventeen thousand, two hundred thirty-three".