164118033 has 6 divisors (see below), whose sum is σ = 237059394. Its totient is φ = 109412016.

The previous prime is 164118013. The next prime is 164118043. The reversal of 164118033 is 330811461.

164118033 is a `hidden beast` number, since 1 + 641 + 18 + 0 + 3 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 163021824 + 1096209 = 12768^2 + 1047^2 .

It is not a de Polignac number, because 164118033 - 2⁵ = 164118001 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 164117988 and 164118006.

It is not an unprimeable number, because it can be changed into a prime (164118013) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9117660 + ... + 9117677.

It is an arithmetic number, because the mean of its divisors is an integer number (39509899).

Almost surely, 2^164118033 is an apocalyptic number.

It is an amenable number.

164118033 is a deficient number, since it is larger than the sum of its proper divisors (72941361).

164118033 is a wasteful number, since it uses less digits than its factorization.

164118033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18235343 (or 18235340 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 164118033 is about 12810.8560603888. The cubic root of 164118033 is about 547.5016525877.

Adding to 164118033 its reverse (330811461), we get a palindrome (494929494).

The spelling of 164118033 in words is "one hundred sixty-four million, one hundred eighteen thousand, thirty-three".