157329 has 8 divisors (see below), whose sum is σ = 233120. Its totient is φ = 104868.

The previous prime is 157327. The next prime is 157349. The reversal of 157329 is 923751.

It is not a de Polignac number, because 157329 - 2¹ = 157327 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 5827 = 157329 / (1 + 5 + 7 + 3 + 2 + 9).

It is a d-powerful number, because it can be written as 1 + 5 + 3⁹ + 7 + 2¹⁷ + 9⁴ .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (157321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2887 + ... + 2940.

It is an arithmetic number, because the mean of its divisors is an integer number (29140).

2¹⁵⁷³²⁹ is an apocalyptic number.

It is an amenable number.

157329 is a deficient number, since it is larger than the sum of its proper divisors (75791).

157329 is an equidigital number, since it uses as much as digits as its factorization.

157329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5836 (or 5830 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 157329 is about 396.6471984018. The cubic root of 157329 is about 53.9845634890.

The spelling of 157329 in words is "one hundred fifty-seven thousand, three hundred twenty-nine".