164216331 has 24 divisors (see below), whose sum is σ = 248892800. Its totient is φ = 104198400.

The previous prime is 164216329. The next prime is 164216341. The reversal of 164216331 is 133612461.

164216331 is a `hidden beast` number, since 1 + 6 + 4 + 21 + 633 + 1 = 666.

It is not a de Polignac number, because 164216331 - 2¹ = 164216329 is a prime.

It is a super-2 number, since 2×164216331² = 53934006734203122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164216295 and 164216304.

It is not an unprimeable number, because it can be changed into a prime (164216341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12195 + ... + 21843.

Almost surely, 2^164216331 is an apocalyptic number.

164216331 is a deficient number, since it is larger than the sum of its proper divisors (84676469).

164216331 is a wasteful number, since it uses less digits than its factorization.

164216331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9747 (or 9744 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 164216331 is about 12814.6919978593. The cubic root of 164216331 is about 547.6109389253.

Adding to 164216331 its reverse (133612461), we get a palindrome (297828792).

The spelling of 164216331 in words is "one hundred sixty-four million, two hundred sixteen thousand, three hundred thirty-one".