401583 has 16 divisors (see below), whose sum is σ = 659456. Its totient is φ = 211680.

The previous prime is 401567. The next prime is 401587. The reversal of 401583 is 385104.

401583 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 401583 - 2⁴ = 401567 is a prime.

It is a super-2 number, since 2×401583² = 322537811778, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

401583 is strictly pandigital in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401587) 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, 463 + ... + 1008.

It is an arithmetic number, because the mean of its divisors is an integer number (41216).

2⁴⁰¹⁵⁸³ is an apocalyptic number.

401583 is a deficient number, since it is larger than the sum of its proper divisors (257873).

401583 is a wasteful number, since it uses less digits than its factorization.

401583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 401583 is about 633.7057676872. The cubic root of 401583 is about 73.7776990659. Note that the first 3 decimals are identical.

Adding to 401583 its reverse (385104), we get a palindrome (786687).

The spelling of 401583 in words is "four hundred one thousand, five hundred eighty-three".