32464 has 10 divisors (see below), whose sum is σ = 62930. Its totient is φ = 16224.

The previous prime is 32443. The next prime is 32467. The reversal of 32464 is 46423.

It can be written as a sum of positive squares in only one way, i.e., 32400 + 64 = 180^2 + 8^2 .

It is a super-2 number, since 2×32464² = 2107822592, which contains 22 as substring.

It is a nialpdrome in base 8 and base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32467) by changing a digit.

32464 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 as a sum of consecutive naturals, namely, 999 + ... + 1030.

It is an arithmetic number, because the mean of its divisors is an integer number (6293).

2³²⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

32464 is a deficient number, since it is larger than the sum of its proper divisors (30466).

32464 is a wasteful number, since it uses less digits than its factorization.

32464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2031 counting only the distinct ones).

The product of its digits is 576, while the sum is 19.

The square root of 32464 is about 180.1776900729. The cubic root of 32464 is about 31.9007340561.

Adding to 32464 its reverse (46423), we get a palindrome (78887).

It can be divided in two parts, 324 and 64, that multiplied together give a 4-th power (20736 = 12⁴).

The spelling of 32464 in words is "thirty-two thousand, four hundred sixty-four".