924001 has 16 divisors (see below), whose sum is σ = 1091664. Its totient is φ = 774144.

The previous prime is 923987. The next prime is 924019. The reversal of 924001 is 100429.

It can be written as a sum of positive squares in 8 ways, for example, as 19600 + 904401 = 140^2 + 951^2 .

It is a 3-Lehmer number, since φ(924001) divides (924001-1)³.

It is a cyclic number.

It is not a de Polignac number, because 924001 - 2¹⁷ = 792929 is a prime.

It is a deceptive number, since it divides R₉₂₄₀₀₀.

It is a Duffinian number.

924001 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (924031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8121 + ... + 8233.

It is an arithmetic number, because the mean of its divisors is an integer number (68229).

2⁹²⁴⁰⁰¹ is an apocalyptic number.

924001 is the 481-st decagonal number.

It is an amenable number.

924001 is a deficient number, since it is larger than the sum of its proper divisors (167663).

924001 is a wasteful number, since it uses less digits than its factorization.

924001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 924001 is about 961.2497074122. The cubic root of 924001 is about 97.3996688707.

The spelling of 924001 in words is "nine hundred twenty-four thousand, one".