31464 has 48 divisors (see below), whose sum is σ = 93600. Its totient is φ = 9504.

The previous prime is 31397. The next prime is 31469. The reversal of 31464 is 46413.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31464.

It is not an unprimeable number, because it can be changed into a prime (31469) by changing a digit.

31464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1357 + ... + 1379.

It is an arithmetic number, because the mean of its divisors is an integer number (1950).

2³¹⁴⁶⁴ 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 31464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46800).

31464 is an abundant number, since it is smaller than the sum of its proper divisors (62136).

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

31464 is a wasteful number, since it uses less digits than its factorization.

31464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 47 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 31464 is about 177.3809459891. The cubic root of 31464 is about 31.5697622409.

Adding to 31464 its reverse (46413), we get a palindrome (77877).

It can be divided in two parts, 314 and 64, that added together give a triangular number (378 = T₂₇).

The spelling of 31464 in words is "thirty-one thousand, four hundred sixty-four".