667377 has 12 divisors (see below), whose sum is σ = 997620. Its totient is φ = 429408.

The previous prime is 667367. The next prime is 667379. The reversal of 667377 is 773766.

It can be written as a sum of positive squares in 2 ways, for example, as 318096 + 349281 = 564^2 + 591^2 .

It is not a de Polignac number, because 667377 - 2⁴ = 667361 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 667377.

It is not an unprimeable number, because it can be changed into a prime (667379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1018 + ... + 1539.

It is an arithmetic number, because the mean of its divisors is an integer number (83135).

2⁶⁶⁷³⁷⁷ is an apocalyptic number.

It is an amenable number.

667377 is a deficient number, since it is larger than the sum of its proper divisors (330243).

667377 is a wasteful number, since it uses less digits than its factorization.

667377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2589 counting only the distinct ones).

The product of its digits is 37044, while the sum is 36.

The square root of 667377 is about 816.9314536728. The cubic root of 667377 is about 87.3890621267.

The spelling of 667377 in words is "six hundred sixty-seven thousand, three hundred seventy-seven".