31407 has 12 divisors (see below), whose sum is σ = 45720. Its totient is φ = 19152.

The previous prime is 31397. The next prime is 31469. The reversal of 31407 is 70413.

31407 is nontrivially palindromic in base 2 and base 8.

It is not a de Polignac number, because 31407 - 2⁴ = 31391 is a prime.

It is an Ulam number.

It is a plaindrome in base 13 and base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31407.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1069 + ... + 1097.

It is an arithmetic number, because the mean of its divisors is an integer number (3810).

2³¹⁴⁰⁷ is an apocalyptic number.

31407 is a deficient number, since it is larger than the sum of its proper divisors (14313).

31407 is a wasteful number, since it uses less digits than its factorization.

31407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 31407 is about 177.2202020087. The cubic root of 31407 is about 31.5506868512.

The spelling of 31407 in words is "thirty-one thousand, four hundred seven".