825771 has 8 divisors (see below), whose sum is σ = 1105360. Its totient is φ = 548352.

The previous prime is 825763. The next prime is 825779. The reversal of 825771 is 177528.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (825763) and next prime (825779).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 825771 - 2³ = 825763 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825779) 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 7 ways as a sum of consecutive naturals, for example, 891 + ... + 1563.

It is an arithmetic number, because the mean of its divisors is an integer number (138170).

2⁸²⁵⁷⁷¹ is an apocalyptic number.

825771 is a deficient number, since it is larger than the sum of its proper divisors (279589).

825771 is a wasteful number, since it uses less digits than its factorization.

825771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085.

The product of its digits is 3920, while the sum is 30.

The square root of 825771 is about 908.7194286467. The cubic root of 825771 is about 93.8180803265.

It can be divided in two parts, 825 and 771, that added together give a triangular number (1596 = T₅₆).

The spelling of 825771 in words is "eight hundred twenty-five thousand, seven hundred seventy-one".