310401 has 24 divisors (see below), whose sum is σ = 553280. Its totient is φ = 163296.

The previous prime is 310397. The next prime is 310423. The reversal of 310401 is 104013.

310401 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 310401 - 2² = 310397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

310401 is strictly pandigital in base 7.

310401 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 310401.

It is not an unprimeable number, because it can be changed into a prime (310481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 630 + ... + 1008.

2³¹⁰⁴⁰¹ is an apocalyptic number.

It is an amenable number.

310401 is a deficient number, since it is larger than the sum of its proper divisors (242879).

310401 is a wasteful number, since it uses less digits than its factorization.

310401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 310401 is about 557.1364285343. The cubic root of 310401 is about 67.7081639654.

Adding to 310401 its reverse (104013), we get a palindrome (414414).

It can be divided in two parts, 3 and 10401, that added together give a square (10404 = 102²).

The spelling of 310401 in words is "three hundred ten thousand, four hundred one", and thus it is an iban number.