164031 has 16 divisors (see below), whose sum is σ = 255744. Its totient is φ = 91584.

The previous prime is 164023. The next prime is 164039. The reversal of 164031 is 130461.

164031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164023) and next prime (164039).

It is not a de Polignac number, because 164031 - 2³ = 164023 is a prime.

It is a super-2 number, since 2×164031² = 53812337922, which contains 22 as substring.

164031 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 164031.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 164031.

It is not an unprimeable number, because it can be changed into a prime (164039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1480 + ... + 1586.

It is an arithmetic number, because the mean of its divisors is an integer number (15984).

2¹⁶⁴⁰³¹ is an apocalyptic number.

164031 is a deficient number, since it is larger than the sum of its proper divisors (91713).

164031 is a wasteful number, since it uses less digits than its factorization.

164031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 164031 is about 405.0074073397. The cubic root of 164031 is about 54.7404854090.

Adding to 164031 its reverse (130461), we get a palindrome (294492).

The spelling of 164031 in words is "one hundred sixty-four thousand, thirty-one".