736308225 has 81 divisors (see below), whose sum is σ = 1390208547. Its totient is φ = 386836560.

The previous prime is 736308151. The next prime is 736308229. The reversal of 736308225 is 522803637.

The square root of 736308225 is 27135.

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., 265070961 + 471237264 = 16281^2 + 21708^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 736308225 - 2²¹ = 734211073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 736308225.

It is not an unprimeable number, because it can be changed into a prime (736308229) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 10989642 + ... + 10989708.

Almost surely, 2^736308225 is an apocalyptic number.

736308225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

736308225 is the 27135-th square number.

736308225 is the 13568-th centered octagonal number.

It is an amenable number.

736308225 is a deficient number, since it is larger than the sum of its proper divisors (653900322).

736308225 is an frugal number, since it uses more digits than its factorization.

736308225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The cubic root of 736308225 is about 902.9975055394.

Multiplying 736308225 by its sum of digits (36), we get a square (26507096100 = 162810²).

The spelling of 736308225 in words is "seven hundred thirty-six million, three hundred eight thousand, two hundred twenty-five".