667953 has 32 divisors (see below), whose sum is σ = 1169280. Its totient is φ = 371520.

The previous prime is 667949. The next prime is 667963. The reversal of 667953 is 359766.

It is a happy number.

It is not a de Polignac number, because 667953 - 2² = 667949 is a prime.

It is a super-2 number, since 2×667953² = 892322420418, which contains 22 as substring.

It is a Curzon number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (667903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3775 + ... + 3947.

It is an arithmetic number, because the mean of its divisors is an integer number (36540).

2⁶⁶⁷⁹⁵³ is an apocalyptic number.

It is an amenable number.

667953 is a deficient number, since it is larger than the sum of its proper divisors (501327).

667953 is a wasteful number, since it uses less digits than its factorization.

667953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 667953 is about 817.2839163963. The cubic root of 667953 is about 87.4141961591.

The spelling of 667953 in words is "six hundred sixty-seven thousand, nine hundred fifty-three".