313732 has 12 divisors (see below), whose sum is σ = 562716. Its totient is φ = 152960.

The previous prime is 313727. The next prime is 313739. The reversal of 313732 is 237313.

313732 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 133956 + 179776 = 366^2 + 424^2 .

It is a plaindrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (313739) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 793 + ... + 1120.

It is an arithmetic number, because the mean of its divisors is an integer number (46893).

2³¹³⁷³² is an apocalyptic number.

It is an amenable number.

313732 is a deficient number, since it is larger than the sum of its proper divisors (248984).

313732 is a wasteful number, since it uses less digits than its factorization.

313732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1956 counting only the distinct ones).

The product of its digits is 378, while the sum is 19.

The square root of 313732 is about 560.1178447434. The cubic root of 313732 is about 67.9495011463.

It can be divided in two parts, 31373 and 2, that added together give a triangular number (31375 = T₂₅₀).

The spelling of 313732 in words is "three hundred thirteen thousand, seven hundred thirty-two".