31073 has 8 divisors (see below), whose sum is σ = 37248. Its totient is φ = 25344.

The previous prime is 31069. The next prime is 31079. The reversal of 31073 is 37013.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 31073 - 2² = 31069 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31073.

It is not an unprimeable number, because it can be changed into a prime (31079) 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, 65 + ... + 257.

It is an arithmetic number, because the mean of its divisors is an integer number (4656).

2³¹⁰⁷³ is an apocalyptic number.

It is an amenable number.

31073 is a deficient number, since it is larger than the sum of its proper divisors (6175).

31073 is a wasteful number, since it uses less digits than its factorization.

31073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223.

The product of its (nonzero) digits is 63, while the sum is 14.

The square root of 31073 is about 176.2753527865. The cubic root of 31073 is about 31.4384453431.

Adding to 31073 its reverse (37013), we get a palindrome (68086).

It can be divided in two parts, 310 and 73, that added together give a palindrome (383).

The spelling of 31073 in words is "thirty-one thousand, seventy-three".