113777 has 2 divisors, whose sum is σ = 113778. Its totient is φ = 113776.

The previous prime is 113761. The next prime is 113779. The reversal of 113777 is 777311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58081 + 55696 = 241^2 + 236^2 .

It is a cyclic number.

It is not a de Polignac number, because 113777 - 2⁴ = 113761 is a prime.

Together with 113779, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 10.

It is not a weakly prime, because it can be changed into another prime (113779) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56888 + 56889.

It is an arithmetic number, because the mean of its divisors is an integer number (56889).

2¹¹³⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

113777 is a deficient number, since it is larger than the sum of its proper divisors (1).

113777 is an equidigital number, since it uses as much as digits as its factorization.

113777 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1029, while the sum is 26.

The square root of 113777 is about 337.3084641689. The cubic root of 113777 is about 48.4564387266.

The spelling of 113777 in words is "one hundred thirteen thousand, seven hundred seventy-seven".