67769 has 6 divisors (see below), whose sum is σ = 73566. Its totient is φ = 62400.

The previous prime is 67763. The next prime is 67777. The reversal of 67769 is 96776.

67769 = 38² + 39² + ... + 63².

It can be written as a sum of positive squares in 3 ways, for example, as 7744 + 60025 = 88^2 + 245^2 .

It is a de Polignac number, because none of the positive numbers 2^k-67769 is a prime.

It is a super-2 number, since 2×67769² = 9185274722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32 + ... + 369.

It is an arithmetic number, because the mean of its divisors is an integer number (12261).

2⁶⁷⁷⁶⁹ is an apocalyptic number.

It is an amenable number.

67769 is a deficient number, since it is larger than the sum of its proper divisors (5797).

67769 is a wasteful number, since it uses less digits than its factorization.

67769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 414 counting only the distinct ones).

The product of its digits is 15876, while the sum is 35.

The square root of 67769 is about 260.3247971285. The cubic root of 67769 is about 40.7702798427.

The spelling of 67769 in words is "sixty-seven thousand, seven hundred sixty-nine".