164589257 has 12 divisors (see below), whose sum is σ = 199820160. Its totient is φ = 132776256.

The previous prime is 164589241. The next prime is 164589281. The reversal of 164589257 is 752985461.

It is a happy number.

It is not a de Polignac number, because 164589257 - 2⁴ = 164589241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (161589257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38657 + ... + 42702.

It is an arithmetic number, because the mean of its divisors is an integer number (16651680).

Almost surely, 2^164589257 is an apocalyptic number.

164589257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

164589257 is a deficient number, since it is larger than the sum of its proper divisors (35230903).

164589257 is an equidigital number, since it uses as much as digits as its factorization.

164589257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81400 (or 81383 counting only the distinct ones).

The product of its digits is 604800, while the sum is 47.

The square root of 164589257 is about 12829.2344666391. The cubic root of 164589257 is about 548.0251566852.

The spelling of 164589257 in words is "one hundred sixty-four million, five hundred eighty-nine thousand, two hundred fifty-seven".