802305625 has 45 divisors (see below), whose sum is σ = 1112791449. Its totient is φ = 577830000.

The previous prime is 802305617. The next prime is 802305631. The reversal of 802305625 is 526503208.

It is a happy number.

The square root of 802305625 is 28325.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 62900761 + 739404864 = 7931^2 + 27192^2 .

It is not a de Polignac number, because 802305625 - 2³ = 802305617 is a prime.

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 44 ways as a sum of consecutive naturals, for example, 7789324 + ... + 7789426.

Almost surely, 2^802305625 is an apocalyptic number.

802305625 is the 28325-th square number.

802305625 is the 14163-rd centered octagonal number.

It is an amenable number.

802305625 is a deficient number, since it is larger than the sum of its proper divisors (310485824).

802305625 is an equidigital number, since it uses as much as digits as its factorization.

802305625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The cubic root of 802305625 is about 929.2087249513.

Multiplying 802305625 by its product of nonzero digits (14400), we get a square (11553201000000 = 3399000²).

The spelling of 802305625 in words is "eight hundred two million, three hundred five thousand, six hundred twenty-five".