4117720 has 32 divisors (see below), whose sum is σ = 9357120. Its totient is φ = 1630720.

The previous prime is 4117709. The next prime is 4117727. The reversal of 4117720 is 277114.

4117720 is nontrivially palindromic in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 4117691 and 4117700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4117727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4065 + ... + 4975.

It is an arithmetic number, because the mean of its divisors is an integer number (292410).

Almost surely, 2^4117720 is an apocalyptic number.

4117720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4117720 is an abundant number, since it is smaller than the sum of its proper divisors (5239400).

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

4117720 is a wasteful number, since it uses less digits than its factorization.

4117720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1031 counting only the distinct ones).

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

The square root of 4117720 is about 2029.2165976061. The cubic root of 4117720 is about 160.2823140743.

Subtracting from 4117720 its reverse (277114), we obtain a triangular number (3840606 = T₂₇₇₁).

The spelling of 4117720 in words is "four million, one hundred seventeen thousand, seven hundred twenty".