314400121 has 6 divisors (see below), whose sum is σ = 365730810. Its totient is φ = 269485776.

The previous prime is 314400103. The next prime is 314400139. The reversal of 314400121 is 121004413.

It is an interprime number because it is at equal distance from previous prime (314400103) and next prime (314400139).

It can be written as a sum of positive squares in only one way, i.e., 196981225 + 117418896 = 14035^2 + 10836^2 .

It is not a de Polignac number, because 314400121 - 2²³ = 306011513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 314400095 and 314400104.

It is not an unprimeable number, because it can be changed into a prime (314400521) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3208116 + ... + 3208213.

It is an arithmetic number, because the mean of its divisors is an integer number (60955135).

Almost surely, 2^314400121 is an apocalyptic number.

It is an amenable number.

314400121 is a deficient number, since it is larger than the sum of its proper divisors (51330689).

314400121 is an equidigital number, since it uses as much as digits as its factorization.

314400121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6416343 (or 6416336 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 314400121 is about 17731.3316194808. The cubic root of 314400121 is about 679.9770183986.

Adding to 314400121 its reverse (121004413), we get a palindrome (435404534).

The spelling of 314400121 in words is "three hundred fourteen million, four hundred thousand, one hundred twenty-one".