117761 has 4 divisors (see below), whose sum is σ = 134592. Its totient is φ = 100932.

The previous prime is 117757. The next prime is 117763. The reversal of 117761 is 167711.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 117761 - 2² = 117757 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8405 + ... + 8418.

It is an arithmetic number, because the mean of its divisors is an integer number (33648).

It is a Proth number, since it is equal to 115 ⋅ 2¹⁰ + 1 and 115 < 2¹⁰.

2¹¹⁷⁷⁶¹ is an apocalyptic number.

It is an amenable number.

117761 is a deficient number, since it is larger than the sum of its proper divisors (16831).

117761 is an equidigital number, since it uses as much as digits as its factorization.

117761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16830.

The product of its digits is 294, while the sum is 23.

The square root of 117761 is about 343.1632264681. The cubic root of 117761 is about 49.0155441452.

It can be divided in two parts, 117 and 761, that added together give a palindrome (878).

The spelling of 117761 in words is "one hundred seventeen thousand, seven hundred sixty-one".