825351 has 8 divisors (see below), whose sum is σ = 1119360. Its totient is φ = 540792.

The previous prime is 825347. The next prime is 825353. The reversal of 825351 is 153528.

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

It is not a de Polignac number, because 825351 - 2² = 825347 is a prime.

825351 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2155 + ... + 2508.

It is an arithmetic number, because the mean of its divisors is an integer number (139920).

2⁸²⁵³⁵¹ is an apocalyptic number.

825351 is a deficient number, since it is larger than the sum of its proper divisors (294009).

825351 is a wasteful number, since it uses less digits than its factorization.

825351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4725.

The product of its digits is 1200, while the sum is 24.

The square root of 825351 is about 908.4883048229. The cubic root of 825351 is about 93.8021718499.

Adding to 825351 its reverse (153528), we get a palindrome (978879).

It can be divided in two parts, 8253 and 51, that multiplied together give a triangular number (420903 = T₉₁₇).

The spelling of 825351 in words is "eight hundred twenty-five thousand, three hundred fifty-one".