314214131 has 24 divisors (see below), whose sum is σ = 398731872. Its totient is φ = 242352000.

The previous prime is 314214097. The next prime is 314214149. The reversal of 314214131 is 131412413.

314214131 = 396² + 397² + ... + 1001².

It is not a de Polignac number, because 314214131 - 2⁶ = 314214067 is a prime.

It is a super-2 number, since 2×314214131² = 197461040240170322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314214151) 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, 83711 + ... + 87383.

It is an arithmetic number, because the mean of its divisors is an integer number (16613828).

Almost surely, 2^314214131 is an apocalyptic number.

314214131 is a deficient number, since it is larger than the sum of its proper divisors (84517741).

314214131 is a wasteful number, since it uses less digits than its factorization.

314214131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3803 (or 3792 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 314214131 is about 17726.0861726440. The cubic root of 314214131 is about 679.8429070504.

Adding to 314214131 its reverse (131412413), we get a palindrome (445626544).

The spelling of 314214131 in words is "three hundred fourteen million, two hundred fourteen thousand, one hundred thirty-one".