825871 has 4 divisors (see below), whose sum is σ = 852544. Its totient is φ = 799200.

The previous prime is 825857. The next prime is 825883. The reversal of 825871 is 178528.

825871 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 825871 - 2¹³ = 817679 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31), and also a Moran number because the ratio is a prime number: 26641 = 825871 / (8 + 2 + 5 + 8 + 7 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13290 + ... + 13351.

It is an arithmetic number, because the mean of its divisors is an integer number (213136).

2⁸²⁵⁸⁷¹ is an apocalyptic number.

825871 is a deficient number, since it is larger than the sum of its proper divisors (26673).

825871 is a wasteful number, since it uses less digits than its factorization.

825871 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26672.

The product of its digits is 4480, while the sum is 31.

The square root of 825871 is about 908.7744494648. The cubic root of 825871 is about 93.8218672640.

The spelling of 825871 in words is "eight hundred twenty-five thousand, eight hundred seventy-one".