164431 has 2 divisors, whose sum is σ = 164432. Its totient is φ = 164430.

The previous prime is 164429. The next prime is 164443. The reversal of 164431 is 134461.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 164431 - 2¹ = 164429 is a prime.

It is a super-3 number, since 3×164431³ = 13337436007424973, which contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 164429, it forms a pair of twin primes.

It is the 406-th Hogben number.

It is a junction number, because it is equal to n+sod(n) for n = 164399 and 164408.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164471) by changing a digit.

It is a nontrivial repunit in base 405.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82215 + 82216.

It is an arithmetic number, because the mean of its divisors is an integer number (82216).

2¹⁶⁴⁴³¹ is an apocalyptic number.

164431 is a deficient number, since it is larger than the sum of its proper divisors (1).

164431 is an equidigital number, since it uses as much as digits as its factorization.

164431 is an evil number, because the sum of its binary digits is even.

The product of its digits is 288, while the sum is 19.

The square root of 164431 is about 405.5009247832. The cubic root of 164431 is about 54.7849453380.

Adding to 164431 its reverse (134461), we get a palindrome (298892).

It can be divided in two parts, 164 and 431, that added together give a palindrome (595).

The spelling of 164431 in words is "one hundred sixty-four thousand, four hundred thirty-one".