315153 has 18 divisors (see below), whose sum is σ = 485394. Its totient is φ = 196992.

The previous prime is 315127. The next prime is 315179. The reversal of 315153 is 351513.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (315127) and next prime (315179).

It can be written as a sum of positive squares in only one way, i.e., 263169 + 51984 = 513^2 + 228^2 .

It is not a de Polignac number, because 315153 - 2⁹ = 314641 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (315103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3201 + ... + 3297.

2³¹⁵¹⁵³ is an apocalyptic number.

It is an amenable number.

315153 is a deficient number, since it is larger than the sum of its proper divisors (170241).

315153 is a wasteful number, since it uses less digits than its factorization.

315153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its digits is 225, while the sum is 18.

The square root of 315153 is about 561.3848947024. The cubic root of 315153 is about 68.0519355256.

Adding to 315153 its reverse (351513), we get a palindrome (666666).

It can be divided in two parts, 31 and 5153, that added together give a square (5184 = 72²).

The spelling of 315153 in words is "three hundred fifteen thousand, one hundred fifty-three".