783205225 has 48 divisors (see below), whose sum is σ = 1096001280. Its totient is φ = 550267200.

The previous prime is 783205201. The next prime is 783205259. The reversal of 783205225 is 522502387.

It is not a de Polignac number, because 783205225 - 2⁵ = 783205193 is a prime.

It is a super-2 number, since 2×783205225² = 1226820848934601250, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1264966 + ... + 1265584.

It is an arithmetic number, because the mean of its divisors is an integer number (22833360).

Almost surely, 2^783205225 is an apocalyptic number.

It is an amenable number.

783205225 is a deficient number, since it is larger than the sum of its proper divisors (312796055).

783205225 is a wasteful number, since it uses less digits than its factorization.

783205225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 783205225 is about 27985.8039905949. The cubic root of 783205225 is about 921.7755663702.

The spelling of 783205225 in words is "seven hundred eighty-three million, two hundred five thousand, two hundred twenty-five".