10424 has 8 divisors (see below), whose sum is σ = 19560. Its totient is φ = 5208.

The previous prime is 10399. The next prime is 10427. The reversal of 10424 is 42401.

10424 = T₄₇ + T₄₈ + ... + T₅₄.

It is a tau number, because it is divible by the number of its divisors (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 644 + ... + 659.

It is an arithmetic number, because the mean of its divisors is an integer number (2445).

2¹⁰⁴²⁴ is an apocalyptic number.

It is an amenable number.

10424 is a deficient number, since it is larger than the sum of its proper divisors (9136).

10424 is a wasteful number, since it uses less digits than its factorization.

10424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 10424 is about 102.0979921448. The cubic root of 10424 is about 21.8446354216.

Adding to 10424 its reverse (42401), we get a palindrome (52825).

It can be divided in two parts, 104 and 24, that added together give a 7-th power (128 = 2⁷).

The spelling of 10424 in words is "ten thousand, four hundred twenty-four", and thus it is an iban number.