89257 has 8 divisors (see below), whose sum is σ = 104832. Its totient is φ = 74400.

The previous prime is 89237. The next prime is 89261. The reversal of 89257 is 75298.

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 89257 - 2¹⁵ = 56489 is a prime.

89257 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (89227) 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, 132 + ... + 442.

It is an arithmetic number, because the mean of its divisors is an integer number (13104).

2⁸⁹²⁵⁷ is an apocalyptic number.

It is an amenable number.

89257 is a deficient number, since it is larger than the sum of its proper divisors (15575).

89257 is a wasteful number, since it uses less digits than its factorization.

89257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359.

The product of its digits is 5040, while the sum is 31.

The square root of 89257 is about 298.7591002798. The cubic root of 89257 is about 44.6903849182.

It can be divided in two parts, 892 and 57, that added together give a palindrome (949).

The spelling of 89257 in words is "eighty-nine thousand, two hundred fifty-seven".