31413 has 8 divisors (see below), whose sum is σ = 43168. Its totient is φ = 20304.

The previous prime is 31397. The next prime is 31469.

31413 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 31413 - 2⁴ = 31397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31013) 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, 31 + ... + 252.

It is an arithmetic number, because the mean of its divisors is an integer number (5396).

2³¹⁴¹³ is an apocalyptic number.

It is an amenable number.

31413 is a deficient number, since it is larger than the sum of its proper divisors (11755).

31413 is a wasteful number, since it uses less digits than its factorization.

31413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323.

The product of its digits is 36, while the sum is 12.

The square root of 31413 is about 177.2371292929. The cubic root of 31413 is about 31.5526958733.

It can be divided in two parts, 31 and 413, that added together give a palindrome (444).

The spelling of 31413 in words is "thirty-one thousand, four hundred thirteen".