315396 has 18 divisors (see below), whose sum is σ = 797342. Its totient is φ = 105120.

The previous prime is 315389. The next prime is 315407. The reversal of 315396 is 693513.

It can be written as a sum of positive squares in only one way, i.e., 202500 + 112896 = 450^2 + 336^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 315396.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4345 + ... + 4416.

2³¹⁵³⁹⁶ is an apocalyptic number.

315396 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

315396 is an abundant number, since it is smaller than the sum of its proper divisors (481946).

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

315396 is a wasteful number, since it uses less digits than its factorization.

315396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8771 (or 8766 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 315396 is about 561.6012820498. The cubic root of 315396 is about 68.0694216058.

It can be divided in two parts, 3153 and 96, that added together give a square (3249 = 57²).

The spelling of 315396 in words is "three hundred fifteen thousand, three hundred ninety-six".