315552 has 48 divisors (see below), whose sum is σ = 876960. Its totient is φ = 99072.

The previous prime is 315551. The next prime is 315559. The reversal of 315552 is 255513.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (315551) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1738 + ... + 1910.

It is an arithmetic number, because the mean of its divisors is an integer number (18270).

2³¹⁵⁵⁵² is an apocalyptic number.

315552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438480).

315552 is an abundant number, since it is smaller than the sum of its proper divisors (561408).

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

315552 is a wasteful number, since it uses less digits than its factorization.

315552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 197 counting only the distinct ones).

The product of its digits is 750, while the sum is 21.

The square root of 315552 is about 561.7401534518. The cubic root of 315552 is about 68.0806425043.

It can be divided in two parts, 3 and 15552, that multiplied together give a 6-th power (46656 = 6⁶).

The spelling of 315552 in words is "three hundred fifteen thousand, five hundred fifty-two".