152833 has 2 divisors, whose sum is σ = 152834. Its totient is φ = 152832.

The previous prime is 152821. The next prime is 152837. The reversal of 152833 is 338251.

152833 is nontrivially palindromic in base 13.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124609 + 28224 = 353^2 + 168^2 .

It is an emirp because it is prime and its reverse (338251) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-152833 is a prime.

It is not a weakly prime, because it can be changed into another prime (152837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76416 + 76417.

It is an arithmetic number, because the mean of its divisors is an integer number (76417).

2¹⁵²⁸³³ is an apocalyptic number.

It is an amenable number.

152833 is a deficient number, since it is larger than the sum of its proper divisors (1).

152833 is an equidigital number, since it uses as much as digits as its factorization.

152833 is an evil number, because the sum of its binary digits is even.

The product of its digits is 720, while the sum is 22.

The square root of 152833 is about 390.9386141071. The cubic root of 152833 is about 53.4653457122.

The spelling of 152833 in words is "one hundred fifty-two thousand, eight hundred thirty-three".