314001 has 12 divisors (see below), whose sum is σ = 458640. Its totient is φ = 207000.

The previous prime is 313997. The next prime is 314003. The reversal of 314001 is 100413.

It is not a de Polignac number, because 314001 - 2² = 313997 is a prime.

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

314001 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 314001.

It is not an unprimeable number, because it can be changed into a prime (314003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1126 + ... + 1376.

It is an arithmetic number, because the mean of its divisors is an integer number (38220).

2³¹⁴⁰⁰¹ is an apocalyptic number.

It is an amenable number.

314001 is a deficient number, since it is larger than the sum of its proper divisors (144639).

314001 is a wasteful number, since it uses less digits than its factorization.

314001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 393 counting only the distinct ones).

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

The square root of 314001 is about 560.3579213324. The cubic root of 314001 is about 67.9689160123.

Adding to 314001 its reverse (100413), we get a palindrome (414414).

The spelling of 314001 in words is "three hundred fourteen thousand, one", and thus it is an iban number.