736404225 has 96 divisors (see below), whose sum is σ = 1343913984. Its totient is φ = 354604800.

The previous prime is 736404209. The next prime is 736404241. The reversal of 736404225 is 522404637.

It is an interprime number because it is at equal distance from previous prime (736404209) and next prime (736404241).

It is not a de Polignac number, because 736404225 - 2⁴ = 736404209 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 2513179 + ... + 2513471.

It is an arithmetic number, because the mean of its divisors is an integer number (13999104).

Almost surely, 2^736404225 is an apocalyptic number.

736404225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

736404225 is a deficient number, since it is larger than the sum of its proper divisors (607509759).

736404225 is a wasteful number, since it uses less digits than its factorization.

736404225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 736404225 is about 27136.7688754575. The cubic root of 736404225 is about 903.0367481602.

The spelling of 736404225 in words is "seven hundred thirty-six million, four hundred four thousand, two hundred twenty-five".