835272 has 40 divisors (see below), whose sum is σ = 2341350. Its totient is φ = 278208.

The previous prime is 835271. The next prime is 835313. The reversal of 835272 is 272538.

It can be written as a sum of positive squares in only one way, i.e., 599076 + 236196 = 774^2 + 486^2 .

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

It is not an unprimeable number, because it can be changed into a prime (835271) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 4 + ... + 1292.

2⁸³⁵²⁷² 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 835272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170675).

835272 is an abundant number, since it is smaller than the sum of its proper divisors (1506078).

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

835272 is a wasteful number, since it uses less digits than its factorization.

835272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1294 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 835272 is about 913.9321637846. The cubic root of 835272 is about 94.1765205793.

The spelling of 835272 in words is "eight hundred thirty-five thousand, two hundred seventy-two".