67761 has 6 divisors (see below), whose sum is σ = 97890. Its totient is φ = 45168.

The previous prime is 67759. The next prime is 67763. The reversal of 67761 is 16776.

67761 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (67759) and next prime (67763).

It can be written as a sum of positive squares in only one way, i.e., 53361 + 14400 = 231^2 + 120^2 .

It is not a de Polignac number, because 67761 - 2¹ = 67759 is a prime.

It is a super-3 number, since 3×67761³ = 933384693096243, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (67763) 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, 3756 + ... + 3773.

It is an arithmetic number, because the mean of its divisors is an integer number (16315).

2⁶⁷⁷⁶¹ is an apocalyptic number.

It is an amenable number.

67761 is a deficient number, since it is larger than the sum of its proper divisors (30129).

67761 is a wasteful number, since it uses less digits than its factorization.

67761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7535 (or 7532 counting only the distinct ones).

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

The square root of 67761 is about 260.3094312544. The cubic root of 67761 is about 40.7686754952.

It can be divided in two parts, 67 and 761, that added together give a palindrome (828).

The spelling of 67761 in words is "sixty-seven thousand, seven hundred sixty-one".