164052333 has 24 divisors (see below), whose sum is σ = 245882520. Its totient is φ = 105275520.

The previous prime is 164052313. The next prime is 164052337. The reversal of 164052333 is 333250461.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10614564 + 153437769 = 3258^2 + 12387^2 .

It is not a de Polignac number, because 164052333 - 2²² = 159858029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164052297 and 164052306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164052337) 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 23 ways as a sum of consecutive naturals, for example, 109135 + ... + 110627.

It is an arithmetic number, because the mean of its divisors is an integer number (10245105).

Almost surely, 2^164052333 is an apocalyptic number.

It is an amenable number.

164052333 is a deficient number, since it is larger than the sum of its proper divisors (81830187).

164052333 is a wasteful number, since it uses less digits than its factorization.

164052333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 164052333 is about 12808.2915722590. The cubic root of 164052333 is about 547.4285839169.

The spelling of 164052333 in words is "one hundred sixty-four million, fifty-two thousand, three hundred thirty-three".