152933 has 4 divisors (see below), whose sum is σ = 166848. Its totient is φ = 139020.

The previous prime is 152909. The next prime is 152939. The reversal of 152933 is 339251.

It is a happy number.

152933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 339251 = 11 ⋅30841.

It is a cyclic number.

It is not a de Polignac number, because 152933 - 2¹⁰ = 151909 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 152899 and 152908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152939) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6941 + ... + 6962.

It is an arithmetic number, because the mean of its divisors is an integer number (41712).

2¹⁵²⁹³³ is an apocalyptic number.

It is an amenable number.

152933 is a deficient number, since it is larger than the sum of its proper divisors (13915).

152933 is a wasteful number, since it uses less digits than its factorization.

152933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13914.

The product of its digits is 810, while the sum is 23.

The square root of 152933 is about 391.0664905102. The cubic root of 152933 is about 53.4770041212.

The spelling of 152933 in words is "one hundred fifty-two thousand, nine hundred thirty-three".