61763 has 4 divisors (see below), whose sum is σ = 66528. Its totient is φ = 57000.

The previous prime is 61757. The next prime is 61781. The reversal of 61763 is 36716.

61763 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 61763 - 2⁸ = 61507 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (61703) 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, 2363 + ... + 2388.

It is an arithmetic number, because the mean of its divisors is an integer number (16632).

2⁶¹⁷⁶³ is an apocalyptic number.

61763 is a deficient number, since it is larger than the sum of its proper divisors (4765).

61763 is a wasteful number, since it uses less digits than its factorization.

61763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4764.

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

The square root of 61763 is about 248.5216288374. The cubic root of 61763 is about 39.5284205013.

It can be divided in two parts, 6176 and 3, that multiplied together give a triangular number (18528 = T₁₉₂).

The spelling of 61763 in words is "sixty-one thousand, seven hundred sixty-three".