320157 has 6 divisors (see below), whose sum is σ = 462462. Its totient is φ = 213432.

The previous prime is 320153. The next prime is 320179. The reversal of 320157 is 751023.

It can be written as a sum of positive squares in only one way, i.e., 224676 + 95481 = 474^2 + 309^2 .

It is not a de Polignac number, because 320157 - 2² = 320153 is a prime.

320157 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 320157.

It is not an unprimeable number, because it can be changed into a prime (320153) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17778 + ... + 17795.

It is an arithmetic number, because the mean of its divisors is an integer number (77077).

2³²⁰¹⁵⁷ is an apocalyptic number.

It is an amenable number.

320157 is a deficient number, since it is larger than the sum of its proper divisors (142305).

320157 is a wasteful number, since it uses less digits than its factorization.

320157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35579 (or 35576 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 320157 is about 565.8241776382. The cubic root of 320157 is about 68.4102221308.

The spelling of 320157 in words is "three hundred twenty thousand, one hundred fifty-seven".