783325 has 6 divisors (see below), whose sum is σ = 971354. Its totient is φ = 626640.

The previous prime is 783323. The next prime is 783329. The reversal of 783325 is 523387.

It can be written as a sum of positive squares in 3 ways, for example, as 273529 + 509796 = 523^2 + 714^2 .

It is not a de Polignac number, because 783325 - 2¹ = 783323 is a prime.

It is a super-2 number, since 2×783325² = 1227196111250, which contains 22 as substring.

It is a Duffinian number.

783325 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 783293 and 783302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (783323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15642 + ... + 15691.

2⁷⁸³³²⁵ is an apocalyptic number.

It is an amenable number.

783325 is a deficient number, since it is larger than the sum of its proper divisors (188029).

783325 is a wasteful number, since it uses less digits than its factorization.

783325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31343 (or 31338 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 783325 is about 885.0564953719. The cubic root of 783325 is about 92.1822552795.

It can be divided in two parts, 78 and 3325, that added together give a triangular number (3403 = T₈₂).

The spelling of 783325 in words is "seven hundred eighty-three thousand, three hundred twenty-five".