117653 has 4 divisors (see below), whose sum is σ = 121740. Its totient is φ = 113568.

The previous prime is 117643. The next prime is 117659. The reversal of 117653 is 356711.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 356711 = 17 ⋅20983.

It can be written as a sum of positive squares in 2 ways, for example, as 61009 + 56644 = 247^2 + 238^2 .

It is a cyclic number.

It is not a de Polignac number, because 117653 - 2¹² = 113557 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 (117659) 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, 2000 + ... + 2057.

It is an arithmetic number, because the mean of its divisors is an integer number (30435).

117653 is a Friedman number, since it can be written as 7^6+5-3+1+1, using all its digits and the basic arithmetic operations.

2¹¹⁷⁶⁵³ is an apocalyptic number.

It is an amenable number.

117653 is a deficient number, since it is larger than the sum of its proper divisors (4087).

117653 is an equidigital number, since it uses as much as digits as its factorization.

117653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086.

The product of its digits is 630, while the sum is 23.

The square root of 117653 is about 343.0058308542. The cubic root of 117653 is about 49.0005553179. Note that the first 3 decimals are identical.

The spelling of 117653 in words is "one hundred seventeen thousand, six hundred fifty-three".