306729 has 12 divisors (see below), whose sum is σ = 447876. Its totient is φ = 202272.

The previous prime is 306727. The next prime is 306739. The reversal of 306729 is 927603.

It can be written as a sum of positive squares in 2 ways, for example, as 291600 + 15129 = 540^2 + 123^2 .

It is not a de Polignac number, because 306729 - 2¹ = 306727 is a prime.

It is not an unprimeable number, because it can be changed into a prime (306727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1459 + ... + 1655.

It is an arithmetic number, because the mean of its divisors is an integer number (37323).

2³⁰⁶⁷²⁹ is an apocalyptic number.

It is an amenable number.

306729 is a deficient number, since it is larger than the sum of its proper divisors (141147).

306729 is a wasteful number, since it uses less digits than its factorization.

306729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 306729 is about 553.8312017212. The cubic root of 306729 is about 67.4401114895.

It can be divided in two parts, 306 and 729, that added together give a triangular number (1035 = T₄₅).

The spelling of 306729 in words is "three hundred six thousand, seven hundred twenty-nine".