157833 has 24 divisors (see below), whose sum is σ = 262080. Its totient is φ = 90720.

The previous prime is 157831. The next prime is 157837. The reversal of 157833 is 338751.

It is not a de Polignac number, because 157833 - 2¹ = 157831 is a prime.

It is a super-2 number, since 2×157833² = 49822511778, which contains 22 as substring.

It is a d-powerful number, because it can be written as 1 + 5³ + 8⁵ + 7⁶ + 3⁶ + 3⁸ .

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 157797 and 157806.

It is not an unprimeable number, because it can be changed into a prime (157831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2188 + ... + 2258.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

2¹⁵⁷⁸³³ is an apocalyptic number.

157833 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

157833 is a deficient number, since it is larger than the sum of its proper divisors (104247).

157833 is a wasteful number, since it uses less digits than its factorization.

157833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 106 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 157833 is about 397.2820157017. The cubic root of 157833 is about 54.0421481638.

It can be divided in two parts, 157 and 833, that added together give a triangular number (990 = T₄₄).

The spelling of 157833 in words is "one hundred fifty-seven thousand, eight hundred thirty-three".