783225 has 27 divisors (see below), whose sum is σ = 1427023.
Its totient is φ = 410640.
The previous prime is 783197. The next prime is 783227. The reversal of 783225 is 522387.
The square root of 783225 is 885.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 281961 + 501264 = 531^2 + 708^2
It is not a de Polignac number, because 783225 - 25 = 783193 is a prime.
It is a super-2 number, since 2×7832252 = 1226882801250, which contains 22 as substring.
It is a Duffinian number.
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (783227) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13246 + ... + 13304.
783225 is a Friedman number, since it can be written as ((23*8-7)*5)^2, using all its digits and the basic arithmetic operations.
2783225 is an apocalyptic number.
783225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.
783225 is the 885-th square number.
783225 is the 443-rd centered octagonal number.
It is an amenable number.
783225 is a deficient number, since it is larger than the sum of its proper divisors (643798).
783225 is a wasteful number, since it uses less digits than its factorization.
783225 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 134 (or 67 counting only the distinct ones).
The product of its digits is 3360, while the sum is 27.
The cubic root of 783225 is about 92.1783324217.
The spelling of 783225 in words is "seven hundred eighty-three thousand, two hundred twenty-five".