835164 has 96 divisors (see below), whose sum is σ = 2553600. Its totient is φ = 233280.

The previous prime is 835141. The next prime is 835207. The reversal of 835164 is 461538.

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

Its product of digits (2880) is a multiple of the sum of its prime divisors (72).

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 835164.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22554 + ... + 22590.

It is an arithmetic number, because the mean of its divisors is an integer number (26600).

2⁸³⁵¹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 835164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276800).

835164 is an abundant number, since it is smaller than the sum of its proper divisors (1718436).

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

835164 is a wasteful number, since it uses less digits than its factorization.

835164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 72 counting only the distinct ones).

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

The square root of 835164 is about 913.8730765265. The cubic root of 835164 is about 94.1724614215.

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

The spelling of 835164 in words is "eight hundred thirty-five thousand, one hundred sixty-four".