401361 has 8 divisors (see below), whose sum is σ = 538080. Its totient is φ = 266112.

The previous prime is 401347. The next prime is 401371. The reversal of 401361 is 163104.

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

It is not a de Polignac number, because 401361 - 2⁵ = 401329 is a prime.

It is a super-2 number, since 2×401361² = 322181304642, which contains 22 as substring.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 401361.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 401361.

It is not an unprimeable number, because it can be changed into a prime (401311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 870 + ... + 1248.

It is an arithmetic number, because the mean of its divisors is an integer number (67260).

2⁴⁰¹³⁶¹ is an apocalyptic number.

It is an amenable number.

401361 is a deficient number, since it is larger than the sum of its proper divisors (136719).

401361 is a wasteful number, since it uses less digits than its factorization.

401361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 401361 is about 633.5305833186. The cubic root of 401361 is about 73.7641014882.

Adding to 401361 its reverse (163104), we get a palindrome (564465).

The spelling of 401361 in words is "four hundred one thousand, three hundred sixty-one".