9780829 has 2 divisors, whose sum is σ = 9780830. Its totient is φ = 9780828.

The previous prime is 9780821. The next prime is 9780847. The reversal of 9780829 is 9280879.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6812100 + 2968729 = 2610^2 + 1723^2 .

It is an emirp because it is prime and its reverse (9280879) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9780829 - 2³ = 9780821 is a prime.

9780829 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9780821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4890414 + 4890415.

It is an arithmetic number, because the mean of its divisors is an integer number (4890415).

Almost surely, 2^9780829 is an apocalyptic number.

It is an amenable number.

9780829 is a deficient number, since it is larger than the sum of its proper divisors (1).

9780829 is an equidigital number, since it uses as much as digits as its factorization.

9780829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72576, while the sum is 43.

The square root of 9780829 is about 3127.4316938984. The cubic root of 9780829 is about 213.8578626410.

It can be divided in two parts, 9780 and 829, that added together give a square (10609 = 103²).

The spelling of 9780829 in words is "nine million, seven hundred eighty thousand, eight hundred twenty-nine".