61767 has 6 divisors (see below), whose sum is σ = 89232. Its totient is φ = 41172.

The previous prime is 61757. The next prime is 61781. The reversal of 61767 is 76716.

It is not a de Polignac number, because 61767 - 2⁴ = 61751 is a prime.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 61767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61717) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3423 + ... + 3440.

It is an arithmetic number, because the mean of its divisors is an integer number (14872).

2⁶¹⁷⁶⁷ is an apocalyptic number.

61767 is a deficient number, since it is larger than the sum of its proper divisors (27465).

61767 is a wasteful number, since it uses less digits than its factorization.

61767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6869 (or 6866 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 61767 is about 248.5296762964. The cubic root of 61767 is about 39.5292738184.

It can be divided in two parts, 61 and 767, that added together give a palindrome (828).

The spelling of 61767 in words is "sixty-one thousand, seven hundred sixty-seven".