314432001 has 24 divisors (see below), whose sum is σ = 491312640. Its totient is φ = 192627936.

The previous prime is 314431991. The next prime is 314432009. The reversal of 314432001 is 100234413.

It is a Cunningham number, because it is equal to 680³+1.

It is not a de Polignac number, because 314432001 - 2⁹ = 314431489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (314432009) 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, 20640 + ... + 32478.

It is an arithmetic number, because the mean of its divisors is an integer number (20471360).

Almost surely, 2^314432001 is an apocalyptic number.

It is an amenable number.

314432001 is a deficient number, since it is larger than the sum of its proper divisors (176880639).

314432001 is a wasteful number, since it uses less digits than its factorization.

314432001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12085 (or 12082 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 314432001 is about 17732.2305703484. The cubic root of 314432001 is about 680.0000007209. Note that the first 6 decimals are identical.

Adding to 314432001 its reverse (100234413), we get a palindrome (414666414).

The spelling of 314432001 in words is "three hundred fourteen million, four hundred thirty-two thousand, one".