315261 has 12 divisors (see below), whose sum is σ = 475488. Its totient is φ = 200904.

The previous prime is 315257. The next prime is 315269. The reversal of 315261 is 162513.

It is not a de Polignac number, because 315261 - 2² = 315257 is a prime.

It is a Curzon number.

315261 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 555 + ... + 968.

It is an arithmetic number, because the mean of its divisors is an integer number (39624).

2³¹⁵²⁶¹ is an apocalyptic number.

It is an amenable number.

315261 is a deficient number, since it is larger than the sum of its proper divisors (160227).

315261 is a wasteful number, since it uses less digits than its factorization.

315261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1549 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 315261 is about 561.4810771522. The cubic root of 315261 is about 68.0597082261.

Adding to 315261 its reverse (162513), we get a palindrome (477774).

It can be divided in two parts, 315 and 261, that multiplied together give a triangular number (82215 = T₄₀₅).

The spelling of 315261 in words is "three hundred fifteen thousand, two hundred sixty-one".