31473 has 12 divisors (see below), whose sum is σ = 49140. Its totient is φ = 19296.

The previous prime is 31469. The next prime is 31477. The reversal of 31473 is 37413.

31473 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (31469) and next prime (31477).

It can be written as a sum of positive squares in 2 ways, for example, as 3249 + 28224 = 57^2 + 168^2 .

It is not a de Polignac number, because 31473 - 2² = 31469 is a prime.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31473.

It is not an unprimeable number, because it can be changed into a prime (31477) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18 + ... + 251.

It is an arithmetic number, because the mean of its divisors is an integer number (4095).

2³¹⁴⁷³ is an apocalyptic number.

It is an amenable number.

31473 is a deficient number, since it is larger than the sum of its proper divisors (17667).

31473 is a wasteful number, since it uses less digits than its factorization.

31473 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 285 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 31473 is about 177.4063133037. The cubic root of 31473 is about 31.5727720381.

Adding to 31473 its reverse (37413), we get a palindrome (68886).

It can be divided in two parts, 314 and 73, that multiplied together give a palindrome (22922).

The spelling of 31473 in words is "thirty-one thousand, four hundred seventy-three".