153405 has 24 divisors (see below), whose sum is σ = 304512. Its totient is φ = 69984.

The previous prime is 153379. The next prime is 153407. The reversal of 153405 is 504351.

It is not a de Polignac number, because 153405 - 2⁷ = 153277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72 + ... + 558.

It is an arithmetic number, because the mean of its divisors is an integer number (12688).

2¹⁵³⁴⁰⁵ is an apocalyptic number.

153405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

153405 is a deficient number, since it is larger than the sum of its proper divisors (151107).

153405 is a wasteful number, since it uses less digits than its factorization.

153405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 153405 is about 391.6695035358. The cubic root of 153405 is about 53.5319633146.

Adding to 153405 its reverse (504351), we get a palindrome (657756).

The spelling of 153405 in words is "one hundred fifty-three thousand, four hundred five".