46829 has 2 divisors, whose sum is σ = 46830. Its totient is φ = 46828.

The previous prime is 46819. The next prime is 46831. The reversal of 46829 is 92864.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29929 + 16900 = 173^2 + 130^2 .

It is a cyclic number.

It is not a de Polignac number, because 46829 - 2⁸ = 46573 is a prime.

Together with 46831, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 8.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (46819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23414 + 23415.

It is an arithmetic number, because the mean of its divisors is an integer number (23415).

2⁴⁶⁸²⁹ is an apocalyptic number.

It is an amenable number.

46829 is a deficient number, since it is larger than the sum of its proper divisors (1).

46829 is an equidigital number, since it uses as much as digits as its factorization.

46829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 29.

The square root of 46829 is about 216.4000924214. The cubic root of 46829 is about 36.0444410010.

The spelling of 46829 in words is "forty-six thousand, eight hundred twenty-nine".