117724 has 12 divisors (see below), whose sum is σ = 217000. Its totient is φ = 55728.

The previous prime is 117721. The next prime is 117727. The reversal of 117724 is 427711.

It is an interprime number because it is at equal distance from previous prime (117721) and next prime (117727).

It is a d-powerful number, because it can be written as **1** + **1** + **7** + **7**^{6} + **2** + **4**^{3} .

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 117695 and 117704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117721) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 699 + ... + 850.

2^{117724} is an apocalyptic number.

It is an amenable number.

117724 is a deficient number, since it is larger than the sum of its proper divisors (99276).

117724 is a wasteful number, since it uses less digits than its factorization.

117724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1570 counting only the distinct ones).

The product of its digits is 392, while the sum is 22.

The square root of 117724 is about 343.1093120275. The cubic root of 117724 is about 49.0104101164.

It can be divided in two parts, 117 and 724, that added together give a square (841 = 29^{2}).

The spelling of 117724 in words is "one hundred seventeen thousand, seven hundred twenty-four", and thus it is an iban number.

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