10634 has 8 divisors (see below), whose sum is σ = 17220. Its totient is φ = 4896.

The previous prime is 10631. The next prime is 10639. The reversal of 10634 is 43601.

It can be written as a sum of positive squares in 2 ways, for example, as 10609 + 25 = 103^2 + 5^2 .

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

It is a super-2 number, since 2×10634² = 226163912, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 179 + ... + 230.

2¹⁰⁶³⁴ is an apocalyptic number.

10634 is a deficient number, since it is larger than the sum of its proper divisors (6586).

10634 is a wasteful number, since it uses less digits than its factorization.

10634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424.

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

The square root of 10634 is about 103.1212878120. The cubic root of 10634 is about 21.9903538979.

Adding to 10634 its sum of digits (14), we get a cube (10648 = 22³).

The spelling of 10634 in words is "ten thousand, six hundred thirty-four".