114761 has 2 divisors, whose sum is σ = 114762. Its totient is φ = 114760.

The previous prime is 114757. The next prime is 114769. The reversal of 114761 is 167411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59536 + 55225 = 244^2 + 235^2 .

It is a cyclic number.

It is not a de Polignac number, because 114761 - 2² = 114757 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 114761.

It is not a weakly prime, because it can be changed into another prime (114769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57380 + 57381.

It is an arithmetic number, because the mean of its divisors is an integer number (57381).

2¹¹⁴⁷⁶¹ is an apocalyptic number.

114761 is the 152-nd centered decagonal number.

It is an amenable number.

114761 is a deficient number, since it is larger than the sum of its proper divisors (1).

114761 is an equidigital number, since it uses as much as digits as its factorization.

114761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 168, while the sum is 20.

The square root of 114761 is about 338.7639296029. The cubic root of 114761 is about 48.5957297247.

Subtracting 114761 from its reverse (167411), we obtain a triangular number (52650 = T₃₂₄).

The spelling of 114761 in words is "one hundred fourteen thousand, seven hundred sixty-one".