736827813 has 16 divisors (see below), whose sum is σ = 1110100800. Its totient is φ = 482891760.

The previous prime is 736827779. The next prime is 736827823. The reversal of 736827813 is 318728637.

736827813 is a `hidden beast` number, since 7 + 368 + 278 + 13 = 666.

It is not a de Polignac number, because 736827813 - 2¹⁰ = 736826789 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (736827823) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 229678 + ... + 232863.

It is an arithmetic number, because the mean of its divisors is an integer number (69381300).

Almost surely, 2^736827813 is an apocalyptic number.

It is an amenable number.

736827813 is a deficient number, since it is larger than the sum of its proper divisors (373272987).

736827813 is a wasteful number, since it uses less digits than its factorization.

736827813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462609 (or 462603 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 736827813 is about 27144.5724409135. The cubic root of 736827813 is about 903.2098606067.

The spelling of 736827813 in words is "seven hundred thirty-six million, eight hundred twenty-seven thousand, eight hundred thirteen".