164672991 has 48 divisors (see below), whose sum is σ = 283383360. Its totient is φ = 90155520.

The previous prime is 164672971. The next prime is 164672993. The reversal of 164672991 is 199276461.

It is not a de Polignac number, because 164672991 - 2¹¹ = 164670943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164672993) 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 47 ways as a sum of consecutive naturals, for example, 315811 + ... + 316331.

It is an arithmetic number, because the mean of its divisors is an integer number (5903820).

Almost surely, 2^164672991 is an apocalyptic number.

164672991 is a deficient number, since it is larger than the sum of its proper divisors (118710369).

164672991 is a wasteful number, since it uses less digits than its factorization.

164672991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 733 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 164672991 is about 12832.4974576269. The cubic root of 164672991 is about 548.1180759917.

The spelling of 164672991 in words is "one hundred sixty-four million, six hundred seventy-two thousand, nine hundred ninety-one".