315540 has 36 divisors (see below), whose sum is σ = 957684. Its totient is φ = 84096.

The previous prime is 315529. The next prime is 315547. The reversal of 315540 is 45513.

It can be written as a sum of positive squares in 2 ways, for example, as 49284 + 266256 = 222^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 315540.

It is not an unprimeable number, because it can be changed into a prime (315547) by changing a digit.

315540 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 697 + ... + 1056.

2³¹⁵⁵⁴⁰ is an apocalyptic number.

315540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315540 is an abundant number, since it is smaller than the sum of its proper divisors (642144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

315540 is a wasteful number, since it uses less digits than its factorization.

315540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 315540 is about 561.7294722551. The cubic root of 315540 is about 68.0797794896.

The spelling of 315540 in words is "three hundred fifteen thousand, five hundred forty".