153985 has 16 divisors (see below), whose sum is σ = 209664. Its totient is φ = 107712.

The previous prime is 153953. The next prime is 153991. The reversal of 153985 is 589351.

It is a cyclic number.

It is not a de Polignac number, because 153985 - 2⁵ = 153953 is a prime.

It is a super-2 number, since 2×153985² = 47422760450, which contains 22 as substring.

153985 is a lucky number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1444 + ... + 1546.

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

2¹⁵³⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

153985 is a deficient number, since it is larger than the sum of its proper divisors (55679).

153985 is a wasteful number, since it uses less digits than its factorization.

153985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144.

The product of its digits is 5400, while the sum is 31.

The square root of 153985 is about 392.4092251719. The cubic root of 153985 is about 53.5993437582.

The spelling of 153985 in words is "one hundred fifty-three thousand, nine hundred eighty-five".