153305 has 4 divisors (see below), whose sum is σ = 183972. Its totient is φ = 122640.

The previous prime is 153287. The next prime is 153313. The reversal of 153305 is 503351.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 118336 + 34969 = 344^2 + 187^2 .

It is a de Polignac number, because none of the positive numbers 2^k-153305 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15326 + ... + 15335.

It is an arithmetic number, because the mean of its divisors is an integer number (45993).

2¹⁵³³⁰⁵ is an apocalyptic number.

It is an amenable number.

153305 is a deficient number, since it is larger than the sum of its proper divisors (30667).

153305 is an equidigital number, since it uses as much as digits as its factorization.

153305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30666.

The product of its (nonzero) digits is 225, while the sum is 17.

The square root of 153305 is about 391.5418240750. The cubic root of 153305 is about 53.5203288396.

Adding to 153305 its reverse (503351), we get a palindrome (656656).

It can be divided in two parts, 153 and 305, that multiplied together give a triangular number (46665 = T₃₀₅).

The spelling of 153305 in words is "one hundred fifty-three thousand, three hundred five".