401933 has 8 divisors (see below), whose sum is σ = 466752. Its totient is φ = 338976.

The previous prime is 401917. The next prime is 401939. The reversal of 401933 is 339104.

401933 = 42² + 43² + ... + 108².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 401933 - 2⁴ = 401917 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41 + ... + 897.

It is an arithmetic number, because the mean of its divisors is an integer number (58344).

2⁴⁰¹⁹³³ is an apocalyptic number.

It is an amenable number.

401933 is a deficient number, since it is larger than the sum of its proper divisors (64819).

401933 is an equidigital number, since it uses as much as digits as its factorization.

401933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 401933 is about 633.9818609393. The cubic root of 401933 is about 73.7991265139.

The spelling of 401933 in words is "four hundred one thousand, nine hundred thirty-three".