1829 has 4 divisors (see below), whose sum is σ = 1920. Its totient is φ = 1740.

The previous prime is 1823. The next prime is 1831. The reversal of 1829 is 9281.

Adding to 1829 its sum of digits (20), we get a square (1849 = 43^{2}).

It can be divided in two parts, 182 and 9, that added together give a palindrome (191).

1829 is nontrivially palindromic in base 14.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-1829 is a prime.

It is a Duffinian number.

1829 is an undulating number in base 14.

It is a Curzon number.

It is a plaindrome in base 6 and base 8.

It is a nialpdrome in base 7 and base 13.

It is a self number, because there is not a number *n* which added to its sum of digits gives 1829.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1823) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2 + ... + 60.

It is an arithmetic number, because the mean of its divisors is an integer number (480).

2^{1829} is an apocalyptic number.

It is an amenable number.

1829 is a deficient number, since it is larger than the sum of its proper divisors (91).

1829 is an equidigital number, since it uses as much as digits as its factorization.

1829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90.

The product of its digits is 144, while the sum is 20.

The square root of 1829 is about 42.7668095607. The cubic root of 1829 is about 12.2293836207.

The spelling of 1829 in words is "one thousand, eight hundred twenty-nine".

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