658967 has 8 divisors (see below), whose sum is σ = 704640. Its totient is φ = 614880.

The previous prime is 658963. The next prime is 658969. The reversal of 658967 is 769856.

It is a happy number.

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 658967 - 2² = 658963 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

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 658967.

It is not an unprimeable number, because it can be changed into a prime (658961) 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, 533 + ... + 1265.

It is an arithmetic number, because the mean of its divisors is an integer number (88080).

2⁶⁵⁸⁹⁶⁷ is an apocalyptic number.

658967 is a deficient number, since it is larger than the sum of its proper divisors (45673).

658967 is a wasteful number, since it uses less digits than its factorization.

658967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793.

The product of its digits is 90720, while the sum is 41.

The square root of 658967 is about 811.7678239497. The cubic root of 658967 is about 87.0204294297.

Subtracting 658967 from its reverse (769856), we obtain a square (110889 = 333²).

The spelling of 658967 in words is "six hundred fifty-eight thousand, nine hundred sixty-seven".