31304 has 32 divisors (see below), whose sum is σ = 73920. Its totient is φ = 12096.

The previous prime is 31277. The next prime is 31307. The reversal of 31304 is 40313.

31304 = 7² + 8² + ... + 45².

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (31307) 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 7 ways as a sum of consecutive naturals, for example, 707 + ... + 749.

It is an arithmetic number, because the mean of its divisors is an integer number (2310).

2³¹³⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36960).

31304 is an abundant number, since it is smaller than the sum of its proper divisors (42616).

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

31304 is a wasteful number, since it uses less digits than its factorization.

31304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 31304 is about 176.9293644368. The cubic root of 31304 is about 31.5161586702.

Adding to 31304 its reverse (40313), we get a palindrome (71617).

Subtracting 31304 from its reverse (40313), we obtain a palindrome (9009).

The spelling of 31304 in words is "thirty-one thousand, three hundred four".