113634 has 24 divisors (see below), whose sum is σ = 252720. Its totient is φ = 36888.

The previous prime is 113623. The next prime is 113647. The reversal of 113634 is 436311.

Adding to 113634 its reverse (436311), we get a palindrome (549945).

It can be divided in two parts, 113 and 634, that added together give a palindrome (747).

It is the 14-th Motzkin number.

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

It is an unprimeable number.

113634 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1009 + ... + 1115.

It is an arithmetic number, because the mean of its divisors is an integer number (10530).

2^{113634} is an apocalyptic number.

113634 is an abundant number, since it is smaller than the sum of its proper divisors (139086).

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

113634 is a wasteful number, since it uses less digits than its factorization.

113634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 171 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 113634 is about 337.0964253741. The cubic root of 113634 is about 48.4361294791.

The spelling of 113634 in words is "one hundred thirteen thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 59 107 118 177 214 321 354 531 642 963 1062 1926 6313 12626 18939 37878 56817 113634

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