153117 has 16 divisors (see below), whose sum is σ = 233280. Its totient is φ = 99216.

The previous prime is 153113. The next prime is 153133. The reversal of 153117 is 711351.

It is a happy number.

153117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 153117 - 2² = 153113 is a prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 153117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1378 + ... + 1484.

It is an arithmetic number, because the mean of its divisors is an integer number (14580).

2¹⁵³¹¹⁷ is an apocalyptic number.

It is an amenable number.

153117 is a deficient number, since it is larger than the sum of its proper divisors (80163).

153117 is a wasteful number, since it uses less digits than its factorization.

153117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 163 counting only the distinct ones).

The product of its digits is 105, while the sum is 18.

The square root of 153117 is about 391.3016739039. The cubic root of 153117 is about 53.4984423222.

Multiplying 153117 by its product of digits (105), we get a triangular number (16077285 = T₅₆₇₀).

Adding to 153117 its reverse (711351), we get a palindrome (864468).

The spelling of 153117 in words is "one hundred fifty-three thousand, one hundred seventeen".