31093 has 8 divisors (see below), whose sum is σ = 34560. Its totient is φ = 27840.

The previous prime is 31091. The next prime is 31121. The reversal of 31093 is 39013.

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 31093 - 2¹ = 31091 is a prime.

It is a Duffinian number.

31093 is a modest number, since divided by 93 gives 31 as remainder.

31093 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31091) 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, 498 + ... + 556.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

2³¹⁰⁹³ is an apocalyptic number.

It is an amenable number.

31093 is a deficient number, since it is larger than the sum of its proper divisors (3467).

31093 is a wasteful number, since it uses less digits than its factorization.

31093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 31093 is about 176.3320730894. The cubic root of 31093 is about 31.4451889689.

The spelling of 31093 in words is "thirty-one thousand, ninety-three".