164233413 has 40 divisors (see below), whose sum is σ = 266195160. Its totient is φ = 100500480.

The previous prime is 164233387. The next prime is 164233423. The reversal of 164233413 is 314332461.

164233413 is a `hidden beast` number, since 1 + 642 + 3 + 3 + 4 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32970564 + 131262849 = 5742^2 + 11457^2 .

It is not a de Polignac number, because 164233413 - 2¹⁶ = 164167877 is a prime.

It is a super-3 number, since 3×164233413³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164233423) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55003 + ... + 57911.

It is an arithmetic number, because the mean of its divisors is an integer number (6654879).

Almost surely, 2^164233413 is an apocalyptic number.

It is an amenable number.

164233413 is a deficient number, since it is larger than the sum of its proper divisors (101961747).

164233413 is a wasteful number, since it uses less digits than its factorization.

164233413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2970 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 164233413 is about 12815.3584811350. The cubic root of 164233413 is about 547.6299260050.

Adding to 164233413 its reverse (314332461), we get a palindrome (478565874).

The spelling of 164233413 in words is "one hundred sixty-four million, two hundred thirty-three thousand, four hundred thirteen".