164826 has 12 divisors (see below), whose sum is σ = 357162. Its totient is φ = 54936.

The previous prime is 164821. The next prime is 164831. The reversal of 164826 is 628461.

164826 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 (164821) and next prime (164831).

It can be written as a sum of positive squares in only one way, i.e., 159201 + 5625 = 399^2 + 75^2 .

It is a super-2 number, since 2×164826² = 54335220552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 164826.

It is not an unprimeable number, because it can be changed into a prime (164821) by changing a digit.

164826 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4561 + ... + 4596.

2¹⁶⁴⁸²⁶ is an apocalyptic number.

164826 is an abundant number, since it is smaller than the sum of its proper divisors (192336).

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

164826 is a wasteful number, since it uses less digits than its factorization.

164826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9165 (or 9162 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 164826 is about 405.9876845423. The cubic root of 164826 is about 54.8287788171.

It can be divided in two parts, 164 and 826, that added together give a triangular number (990 = T₄₄).

The spelling of 164826 in words is "one hundred sixty-four thousand, eight hundred twenty-six".