1634 has 8 divisors (see below), whose sum is σ = 2640. Its totient is φ = 756.

The previous prime is 1627. The next prime is 1637. The reversal of 1634 is 4361.

Added to its reverse (4361) it gives a triangular number (5995 = T₁₀₉).

1634 is nontrivially palindromic in base 13.

1634 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

1634 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a d-powerful number, because it can be written as 1 + 3⁴ + 6⁴ + 4⁴ .

It is an alternating number because its digits alternate between odd and even.

1634 is an undulating number in base 13.

1634 is strictly pandigital in base 5.

It is a plaindrome in base 11.

It is a nialpdrome in base 12 and base 16.

It is not an unprimeable number, because it can be changed into a prime (1637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17 + ... + 59.

It is an arithmetic number, because the mean of its divisors is an integer number (330).

It is a narcissistic number, because it is equal to 1⁴ + 6⁴ + 3⁴ + 4⁴.

2¹⁶³⁴ is an apocalyptic number.

1634 is a deficient number, since it is larger than the sum of its proper divisors (1006).

1634 is a wasteful number, since it uses less digits than its factorization.

1634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64.

The product of its digits is 72, while the sum is 14.

The square root of 1634 is about 40.4227658628. The cubic root of 1634 is about 11.7783381192.

Adding to 1634 its reverse (4361), we get a palindrome (5995).

The spelling of 1634 in words is "one thousand, six hundred thirty-four".