99225 has 45 divisors (see below), whose sum is σ = 213807. Its totient is φ = 45360.

The previous prime is 99223. The next prime is 99233. The reversal of 99225 is 52299.

99225 = T_{314} + T_{315}.

99225 = 25^{3} + 26^{3} + ... + 29^{3}.

The square root of 99225 is 315.

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., 35721 + 63504 = 189^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 99225 - 2^{1} = 99223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1620) is a multiple of the sum of its prime divisors (15).

99225 is a lucky number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 99225.

It is not an unprimeable number, because it can be changed into a prime (99223) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14172 + ... + 14178.

99225 is a Friedman number, since it can be written as (9*5*(9-2))^2, using all its digits and the basic arithmetic operations.

2^{99225} is an apocalyptic number.

99225 is the 315-th square number.

99225 is the 158-th centered octagonal number.

It is an amenable number.

99225 is an abundant number, since it is smaller than the sum of its proper divisors (114582).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99225 is a wasteful number, since it uses less digits than its factorization.

99225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 15 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The cubic root of 99225 is about 46.2956695224.

It can be divided in two parts, 99 and 225, that added together give a square (324 = 18^{2}).

The spelling of 99225 in words is "ninety-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 135 147 175 189 225 245 315 405 441 525 567 675 735 945 1225 1323 1575 2025 2205 2835 3675 3969 4725 6615 11025 14175 19845 33075 99225

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