895164 has 12 divisors (see below), whose sum is σ = 2088744. Its totient is φ = 298384.

The previous prime is 895159. The next prime is 895171. The reversal of 895164 is 461598.

895164 = 331² + 332² + ... + 338².

It is a tau number, because it is divible by the number of its divisors (12).

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 895164.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37287 + ... + 37310.

It is an arithmetic number, because the mean of its divisors is an integer number (174062).

2⁸⁹⁵¹⁶⁴ is an apocalyptic number.

It is an amenable number.

895164 is an abundant number, since it is smaller than the sum of its proper divisors (1193580).

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

895164 is a wasteful number, since it uses less digits than its factorization.

895164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74604 (or 74602 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 895164 is about 946.1310691442. The cubic root of 895164 is about 96.3756979196.

It can be divided in two parts, 89 and 5164, that added together give a triangular number (5253 = T₁₀₂).

The spelling of 895164 in words is "eight hundred ninety-five thousand, one hundred sixty-four".