153205 has 8 divisors (see below), whose sum is σ = 198072. Its totient is φ = 113088.

The previous prime is 153191. The next prime is 153247. The reversal of 153205 is 502351.

It can be written as a sum of positive squares in 4 ways, for example, as 324 + 152881 = 18^2 + 391^2 .

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 153205 - 2⁷ = 153077 is a prime.

It is an Ulam number.

It is a Duffinian number.

153205 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1114 + ... + 1243.

It is an arithmetic number, because the mean of its divisors is an integer number (24759).

2¹⁵³²⁰⁵ is an apocalyptic number.

It is an amenable number.

153205 is a deficient number, since it is larger than the sum of its proper divisors (44867).

153205 is a wasteful number, since it uses less digits than its factorization.

153205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375.

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 153205 is about 391.4141029651. The cubic root of 153205 is about 53.5086893040.

Adding to 153205 its reverse (502351), we get a palindrome (655556).

The spelling of 153205 in words is "one hundred fifty-three thousand, two hundred five".