164385033 has 16 divisors (see below), whose sum is σ = 230092800. Its totient is φ = 104253840.

The previous prime is 164385029. The next prime is 164385037. The reversal of 164385033 is 330583461.

It is an interprime number because it is at equal distance from previous prime (164385029) and next prime (164385037).

It is not a de Polignac number, because 164385033 - 2² = 164385029 is a prime.

It is a super-2 number, since 2×164385033² = 54044878148822178, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 164384985 and 164385003.

It is not an unprimeable number, because it can be changed into a prime (164385037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9493 + ... + 20466.

It is an arithmetic number, because the mean of its divisors is an integer number (14380800).

Almost surely, 2^164385033 is an apocalyptic number.

It is an amenable number.

164385033 is a deficient number, since it is larger than the sum of its proper divisors (65707767).

164385033 is a wasteful number, since it uses less digits than its factorization.

164385033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30052.

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 164385033 is about 12821.2726747387. The cubic root of 164385033 is about 547.7983978351.

The spelling of 164385033 in words is "one hundred sixty-four million, three hundred eighty-five thousand, thirty-three".