31460 has 36 divisors (see below), whose sum is σ = 78204. Its totient is φ = 10560.

The previous prime is 31397. The next prime is 31469. The reversal of 31460 is 6413.

31460 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7744 + 23716 = 88^2 + 154^2 .

31460 is strictly pandigital in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31469) 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, 2414 + ... + 2426.

2³¹⁴⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39102).

31460 is an abundant number, since it is smaller than the sum of its proper divisors (46744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31460 is a wasteful number, since it uses less digits than its factorization.

31460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 31460 is about 177.3696704626. The cubic root of 31460 is about 31.5684243691.

Adding to 31460 its reverse (6413), we get a palindrome (37873).

The spelling of 31460 in words is "thirty-one thousand, four hundred sixty".