164835 has 40 divisors (see below), whose sum is σ = 331056. Its totient is φ = 77760.

The previous prime is 164831. The next prime is 164837. The reversal of 164835 is 538461.

164835 = 2³ + 3³ + ... + 28³.

164835 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 406²-1.

It is not a de Polignac number, because 164835 - 2² = 164831 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 164799 and 164808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164831) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4437 + ... + 4473.

2¹⁶⁴⁸³⁵ is an apocalyptic number.

164835 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164835 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164835 is a wasteful number, since it uses less digits than its factorization.

164835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 56 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 164835 is about 405.9987684710. The cubic root of 164835 is about 54.8297767382.

164835 divided by its sum of digits (27) gives a triangular number (6105 = T₁₁₀).

It can be divided in two parts, 164 and 835, that added together give a palindrome (999).

The spelling of 164835 in words is "one hundred sixty-four thousand, eight hundred thirty-five".