41634 has 20 divisors (see below), whose sum is σ = 93654. Its totient is φ = 13824.

The previous prime is 41627. The next prime is 41641. The reversal of 41634 is 43614.

It is an interprime number because it is at equal distance from previous prime (41627) and next prime (41641).

It can be written as a sum of positive squares in only one way, i.e., 23409 + 18225 = 153^2 + 135^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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

41634 is an undulating number in base 16.

It is a Curzon number.

It is a plaindrome in base 14.

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

41634 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 34 + ... + 290.

2⁴¹⁶³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46827).

41634 is an abundant number, since it is smaller than the sum of its proper divisors (52020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41634 is a wasteful number, since it uses less digits than its factorization.

41634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 262 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 41634 is about 204.0441128776. The cubic root of 41634 is about 34.6590014282.

Subtracting from 41634 its sum of digits (18), we obtain a triangular number (41616 = T₂₈₈).

The spelling of 41634 in words is "forty-one thousand, six hundred thirty-four".