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2029 is a prime number
BaseRepresentation
bin11111101101
32210011
4133231
531104
613221
75626
oct3755
92704
102029
111585
121211
13c01
14a4d
15904
hex7ed

2029 has 2 divisors, whose sum is σ = 2030. Its totient is φ = 2028.

The previous prime is 2027. The next prime is 2039. The reversal of 2029 is 9202.

Subtracting from 2029 its sum of digits (13), we obtain a triangular number (2016 = T63).

It can be divided in two parts, 20 and 29, that added together give a square (49 = 72).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2025 + 4 = 45^2 + 2^2 .

It is a cyclic number.

It is not a de Polignac number, because 2029 - 21 = 2027 is a prime.

Together with 2027, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1014 + 1015.

It is an arithmetic number, because the mean of its divisors is an integer number (1015).

It is an amenable number.

2029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2029 is an equidigital number, since it uses as much as digits as its factorization.

2029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2029 is about 45.0444225182. The cubic root of 2029 is about 12.6598146998.

The spelling of 2029 in words is "two thousand, twenty-nine".