264117 has 8 divisors (see below), whose sum is σ = 402496. Its totient is φ = 150912.

The previous prime is 264113. The next prime is 264127. The reversal of 264117 is 711462.

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

It is not a de Polignac number, because 264117 - 2² = 264113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 12577 = 264117 / (2 + 6 + 4 + 1 + 1 + 7).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 264093 and 264102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6268 + ... + 6309.

It is an arithmetic number, because the mean of its divisors is an integer number (50312).

2²⁶⁴¹¹⁷ is an apocalyptic number.

It is an amenable number.

264117 is a deficient number, since it is larger than the sum of its proper divisors (138379).

264117 is a wasteful number, since it uses less digits than its factorization.

264117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12587.

The product of its digits is 336, while the sum is 21.

The square root of 264117 is about 513.9231460053. The cubic root of 264117 is about 64.1601620063.

Adding to 264117 its reverse (711462), we get a palindrome (975579).

The spelling of 264117 in words is "two hundred sixty-four thousand, one hundred seventeen".