729961 has 8 divisors (see below), whose sum is σ = 777920. Its totient is φ = 682992.

The previous prime is 729947. The next prime is 729977. The reversal of 729961 is 169927.

729961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-729961 is a prime.

It is a Duffinian number.

729961 is a lucky number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (729931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1771 + ... + 2143.

It is an arithmetic number, because the mean of its divisors is an integer number (97240).

2⁷²⁹⁹⁶¹ is an apocalyptic number.

It is an amenable number.

729961 is a deficient number, since it is larger than the sum of its proper divisors (47959).

729961 is a wasteful number, since it uses less digits than its factorization.

729961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495.

The product of its digits is 6804, while the sum is 34.

The square root of 729961 is about 854.3775512032. The cubic root of 729961 is about 90.0395299601.

Subtracting from 729961 its sum of digits (34), we obtain a palindrome (729927).

It can be divided in two parts, 729 and 961, that multiplied together give a square (700569 = 837²).

The spelling of 729961 in words is "seven hundred twenty-nine thousand, nine hundred sixty-one".