825319 has 4 divisors (see below), whose sum is σ = 900360. Its totient is φ = 750280.

The previous prime is 825301. The next prime is 825329. The reversal of 825319 is 913528.

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 825319 - 2⁵ = 825287 is a prime.

It is a super-2 number, since 2×825319² = 1362302903522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37504 + ... + 37525.

It is an arithmetic number, because the mean of its divisors is an integer number (225090).

2⁸²⁵³¹⁹ is an apocalyptic number.

825319 is a deficient number, since it is larger than the sum of its proper divisors (75041).

825319 is a wasteful number, since it uses less digits than its factorization.

825319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75040.

The product of its digits is 2160, while the sum is 28.

The square root of 825319 is about 908.4706929780. The cubic root of 825319 is about 93.8009595542.

Subtracting 825319 from its reverse (913528), we obtain a square (88209 = 297²).

It can be divided in two parts, 825 and 319, that multiplied together give a triangular number (263175 = T₇₂₅).

The spelling of 825319 in words is "eight hundred twenty-five thousand, three hundred nineteen".