98307225 has 27 divisors (see below), whose sum is σ = 176345949. Its totient is φ = 52351200.

The previous prime is 98307199. The next prime is 98307241. The reversal of 98307225 is 52270389.

It is a happy number.

The square root of 98307225 is 9915.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2893401 + 95413824 = 1701^2 + 9768^2 .

It is not a de Polignac number, because 98307225 - 2¹⁷ = 98176153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 98307225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 148395 + ... + 149055.

Almost surely, 2^98307225 is an apocalyptic number.

98307225 is the 9915-th square number.

98307225 is the 4958-th centered octagonal number.

It is an amenable number.

98307225 is a deficient number, since it is larger than the sum of its proper divisors (78038724).

98307225 is an equidigital number, since it uses as much as digits as its factorization.

98307225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The cubic root of 98307225 is about 461.5249093777.

Multiplying 98307225 by its sum of digits (36), we get a square (3539060100 = 59490²).

The spelling of 98307225 in words is "ninety-eight million, three hundred seven thousand, two hundred twenty-five".