258727 has 8 divisors (see below), whose sum is σ = 308736. Its totient is φ = 211992.

The previous prime is 258721. The next prime is 258733. The reversal of 258727 is 727852.

It is an interprime number because it is at equal distance from previous prime (258721) and next prime (258733).

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-258727 is a prime.

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

It is a Duffinian number.

258727 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258721) 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, 643 + ... + 964.

It is an arithmetic number, because the mean of its divisors is an integer number (38592).

2²⁵⁸⁷²⁷ is an apocalyptic number.

258727 is the 322-nd heptagonal number.

258727 is a deficient number, since it is larger than the sum of its proper divisors (50009).

258727 is a wasteful number, since it uses less digits than its factorization.

258727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637.

The product of its digits is 7840, while the sum is 31.

The square root of 258727 is about 508.6521404654. The cubic root of 258727 is about 63.7207067776.

The spelling of 258727 in words is "two hundred fifty-eight thousand, seven hundred twenty-seven".