164836 has 27 divisors (see below), whose sum is σ = 347529. Its totient is φ = 68208.

The previous prime is 164831. The next prime is 164837. The reversal of 164836 is 638461.

164836 = T₄₀₅ + T₄₀₆.

164836 = 1³ + 2³ + ... + 28³.

The square root of 164836 is 406.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 86436 + 78400 = 294^2 + 280^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 14.

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 8 ways as a sum of consecutive naturals, for example, 5670 + ... + 5698.

2¹⁶⁴⁸³⁶ is an apocalyptic number.

164836 is the 406-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164836

164836 is an abundant number, since it is smaller than the sum of its proper divisors (182693).

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

164836 is a wasteful number, since it uses less digits than its factorization.

164836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 38 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The cubic root of 164836 is about 54.8298876161.

It can be divided in two parts, 164 and 836, that added together give a cube (1000 = 10³).

The spelling of 164836 in words is "one hundred sixty-four thousand, eight hundred thirty-six".