314401325 has 48 divisors (see below), whose sum is σ = 472469760. Its totient is φ = 202944000.

The previous prime is 314401273. The next prime is 314401331. The reversal of 314401325 is 523104413.

It is not a de Polignac number, because 314401325 - 2¹² = 314397229 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 314401325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207320 + ... + 208830.

It is an arithmetic number, because the mean of its divisors is an integer number (9843120).

Almost surely, 2^314401325 is an apocalyptic number.

314401325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

314401325 is a deficient number, since it is larger than the sum of its proper divisors (158068435).

314401325 is a wasteful number, since it uses less digits than its factorization.

314401325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 314401325 is about 17731.3655706491. The cubic root of 314401325 is about 679.9778863916.

Adding to 314401325 its reverse (523104413), we get a palindrome (837505738).

The spelling of 314401325 in words is "three hundred fourteen million, four hundred one thousand, three hundred twenty-five".