333506401 has 6 divisors (see below), whose sum is σ = 344612706. Its totient is φ = 322747200.

The previous prime is 333506399. The next prime is 333506431. The reversal of 333506401 is 104605333.

It can be written as a sum of positive squares in only one way, i.e., 244109376 + 89397025 = 15624^2 + 9455^2 .

It is not a de Polignac number, because 333506401 - 2¹ = 333506399 is a prime.

It is a super-2 number, since 2×333506401² = 222453039015945602, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333506431) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 172560 + ... + 174481.

It is an arithmetic number, because the mean of its divisors is an integer number (57435451).

Almost surely, 2^333506401 is an apocalyptic number.

333506401 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

333506401 is a deficient number, since it is larger than the sum of its proper divisors (11106305).

333506401 is an equidigital number, since it uses as much as digits as its factorization.

333506401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347103 (or 347072 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 333506401 is about 18262.1576217051. The cubic root of 333506401 is about 693.4812520067.

The spelling of 333506401 in words is "three hundred thirty-three million, five hundred six thousand, four hundred one".