407533 has 6 divisors (see below), whose sum is σ = 474126. Its totient is φ = 349272.

The previous prime is 407527. The next prime is 407567. The reversal of 407533 is 335704.

407533 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in only one way, i.e., 405769 + 1764 = 637^2 + 42^2 .

It is not a de Polignac number, because 407533 - 2⁵ = 407501 is a prime.

It is an Ulam number.

It is a Duffinian number.

407533 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4110 + ... + 4207.

It is an arithmetic number, because the mean of its divisors is an integer number (79021).

2⁴⁰⁷⁵³³ is an apocalyptic number.

It is an amenable number.

407533 is a deficient number, since it is larger than the sum of its proper divisors (66593).

407533 is an equidigital number, since it uses as much as digits as its factorization.

407533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8331 (or 8324 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 22.

The square root of 407533 is about 638.3831138118. The cubic root of 407533 is about 74.1402865964.

The spelling of 407533 in words is "four hundred seven thousand, five hundred thirty-three".