667957 has 8 divisors (see below), whose sum is σ = 714240. Its totient is φ = 623280.

The previous prime is 667949. The next prime is 667963. The reversal of 667957 is 759766.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 667957 - 2³ = 667949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667987) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 528 + ... + 1270.

It is an arithmetic number, because the mean of its divisors is an integer number (89280).

2⁶⁶⁷⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

667957 is a deficient number, since it is larger than the sum of its proper divisors (46283).

667957 is a wasteful number, since it uses less digits than its factorization.

667957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803.

The product of its digits is 79380, while the sum is 40.

The square root of 667957 is about 817.2863635226. The cubic root of 667957 is about 87.4143706504.

Subtracting 667957 from its reverse (759766), we obtain a square (91809 = 303²).

The spelling of 667957 in words is "six hundred sixty-seven thousand, nine hundred fifty-seven".