157829 has 6 divisors (see below), whose sum is σ = 183654. Its totient is φ = 135240.

The previous prime is 157823. The next prime is 157831. The reversal of 157829 is 928751.

It can be written as a sum of positive squares in only one way, i.e., 148225 + 9604 = 385^2 + 98^2 .

It is not a de Polignac number, because 157829 - 2⁴ = 157813 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 157795 and 157804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157823) 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 5 ways as a sum of consecutive naturals, for example, 1562 + ... + 1659.

It is an arithmetic number, because the mean of its divisors is an integer number (30609).

2¹⁵⁷⁸²⁹ is an apocalyptic number.

It is an amenable number.

157829 is a deficient number, since it is larger than the sum of its proper divisors (25825).

157829 is an equidigital number, since it uses as much as digits as its factorization.

157829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3235 (or 3228 counting only the distinct ones).

The product of its digits is 5040, while the sum is 32.

The square root of 157829 is about 397.2769814626. The cubic root of 157829 is about 54.0416916256.

The spelling of 157829 in words is "one hundred fifty-seven thousand, eight hundred twenty-nine".