825279 has 16 divisors (see below), whose sum is σ = 1354752. Its totient is φ = 435168.

The previous prime is 825277. The next prime is 825281. The reversal of 825279 is 972528.

825279 = 82² + 83² + ... + 144².

It is an interprime number because it is at equal distance from previous prime (825277) and next prime (825281).

It is not a de Polignac number, because 825279 - 2¹ = 825277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1239 + ... + 1784.

It is an arithmetic number, because the mean of its divisors is an integer number (84672).

2⁸²⁵²⁷⁹ is an apocalyptic number.

825279 is a deficient number, since it is larger than the sum of its proper divisors (529473).

825279 is a wasteful number, since it uses less digits than its factorization.

825279 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046.

The product of its digits is 10080, while the sum is 33.

The square root of 825279 is about 908.4486776918. The cubic root of 825279 is about 93.7994441406.

The spelling of 825279 in words is "eight hundred twenty-five thousand, two hundred seventy-nine".