117261 has 16 divisors (see below), whose sum is σ = 179520. Its totient is φ = 75600.

The previous prime is 117259. The next prime is 117269. The reversal of 117261 is 162711.

It is not a de Polignac number, because 117261 - 2¹ = 117259 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1111 + ... + 1211.

It is an arithmetic number, because the mean of its divisors is an integer number (11220).

2¹¹⁷²⁶¹ is an apocalyptic number.

It is an amenable number.

117261 is a deficient number, since it is larger than the sum of its proper divisors (62259).

117261 is a wasteful number, since it uses less digits than its factorization.

117261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its digits is 84, while the sum is 18.

The square root of 117261 is about 342.4339352342. The cubic root of 117261 is about 48.9460742305.

Adding to 117261 its reverse (162711), we get a palindrome (279972).

It can be divided in two parts, 117 and 261, that added together give a triangular number (378 = T₂₇).

The spelling of 117261 in words is "one hundred seventeen thousand, two hundred sixty-one".