314948205 has 96 divisors (see below), whose sum is σ = 679311360. Its totient is φ = 132618240.

The previous prime is 314948201. The next prime is 314948209. The reversal of 314948205 is 502849413.

It is an interprime number because it is at equal distance from previous prime (314948201) and next prime (314948209).

It is not a de Polignac number, because 314948205 - 2² = 314948201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 314948205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314948201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107956 + ... + 110834.

It is an arithmetic number, because the mean of its divisors is an integer number (7076160).

Almost surely, 2^314948205 is an apocalyptic number.

It is an amenable number.

314948205 is an abundant number, since it is smaller than the sum of its proper divisors (364363155).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314948205 is a wasteful number, since it uses less digits than its factorization.

314948205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 314948205 is about 17746.7801304913. The cubic root of 314948205 is about 680.3719166463.

The spelling of 314948205 in words is "three hundred fourteen million, nine hundred forty-eight thousand, two hundred five".