63761 has 2 divisors, whose sum is σ = 63762. Its totient is φ = 63760.

The previous prime is 63743. The next prime is 63773. The reversal of 63761 is 16736.

63761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59536 + 4225 = 244^2 + 65^2 .

It is a cyclic number.

It is not a de Polignac number, because 63761 - 2⁶ = 63697 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 6³ + 3⁴ + 7⁵ + 6⁶ + 1 .

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (63781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31880 + 31881.

It is an arithmetic number, because the mean of its divisors is an integer number (31881).

2⁶³⁷⁶¹ is an apocalyptic number.

It is an amenable number.

63761 is a deficient number, since it is larger than the sum of its proper divisors (1).

63761 is an equidigital number, since it uses as much as digits as its factorization.

63761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 756, while the sum is 23.

The square root of 63761 is about 252.5094057654. The cubic root of 63761 is about 39.9501462242.

The spelling of 63761 in words is "sixty-three thousand, seven hundred sixty-one".