7829 has 2 divisors, whose sum is σ = 7830. Its totient is φ = 7828.

The previous prime is 7823. The next prime is 7841. The reversal of 7829 is 9287.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5329 + 2500 = 73^2 + 50^2 .

It is a cyclic number.

It is not a de Polignac number, because 7829 - 2⁸ = 7573 is a prime.

It is a super-2 number, since 2×7829² = 122586482, which contains 22 as substring.

It is a Chen prime.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 7798 and 7807.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3914 + 3915.

It is an arithmetic number, because the mean of its divisors is an integer number (3915).

2⁷⁸²⁹ is an apocalyptic number.

It is an amenable number.

7829 is a deficient number, since it is larger than the sum of its proper divisors (1).

7829 is an equidigital number, since it uses as much as digits as its factorization.

7829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1008, while the sum is 26.

The square root of 7829 is about 88.4816365129. The cubic root of 7829 is about 19.8564724561.

The spelling of 7829 in words is "seven thousand, eight hundred twenty-nine".