314056164 has 96 divisors (see below), whose sum is σ = 816915456. Its totient is φ = 93450240.

The previous prime is 314056163. The next prime is 314056189. The reversal of 314056164 is 461650413.

It is not an unprimeable number, because it can be changed into a prime (314056163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334704 + ... + 335640.

It is an arithmetic number, because the mean of its divisors is an integer number (8509536).

Almost surely, 2^314056164 is an apocalyptic number.

314056164 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314056164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408457728).

314056164 is an abundant number, since it is smaller than the sum of its proper divisors (502859292).

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

314056164 is a wasteful number, since it uses less digits than its factorization.

314056164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 314056164 is about 17721.6298347528. The cubic root of 314056164 is about 679.7289606089.

The spelling of 314056164 in words is "three hundred fourteen million, fifty-six thousand, one hundred sixty-four".