164963131 has 12 divisors (see below), whose sum is σ = 173736360. Its totient is φ = 156536640.

The previous prime is 164963129. The next prime is 164963143. The reversal of 164963131 is 131369461.

It is a happy number.

It is not a de Polignac number, because 164963131 - 2¹ = 164963129 is a prime.

It is a super-2 number, since 2×164963131² = 54425669178646322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164963171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54660 + ... + 57598.

It is an arithmetic number, because the mean of its divisors is an integer number (14478030).

Almost surely, 2^164963131 is an apocalyptic number.

164963131 is a deficient number, since it is larger than the sum of its proper divisors (8773229).

164963131 is an equidigital number, since it uses as much as digits as its factorization.

164963131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 3017 counting only the distinct ones).

The product of its digits is 11664, while the sum is 34.

The square root of 164963131 is about 12843.7973746085. The cubic root of 164963131 is about 548.4397998096.

The spelling of 164963131 in words is "one hundred sixty-four million, nine hundred sixty-three thousand, one hundred thirty-one".