920729 has 2 divisors, whose sum is σ = 920730. Its totient is φ = 920728.

The previous prime is 920707. The next prime is 920741. The reversal of 920729 is 927029.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 462400 + 458329 = 680^2 + 677^2 .

It is a cyclic number.

It is not a de Polignac number, because 920729 - 2⁸ = 920473 is a prime.

It is equal to p₇₂₇₈₅ and since 920729 and 72785 have the same sum of digits, it is a Honaker prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 920729.

It is not a weakly prime, because it can be changed into another prime (920789) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 460364 + 460365.

It is an arithmetic number, because the mean of its divisors is an integer number (460365).

2⁹²⁰⁷²⁹ is an apocalyptic number.

It is an amenable number.

920729 is a deficient number, since it is larger than the sum of its proper divisors (1).

920729 is an equidigital number, since it uses as much as digits as its factorization.

920729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 920729 is about 959.5462469313. The cubic root of 920729 is about 97.2845648706.

The spelling of 920729 in words is "nine hundred twenty thousand, seven hundred twenty-nine".