314197152 has 96 divisors (see below), whose sum is σ = 863944704. Its totient is φ = 99859200.

The previous prime is 314197139. The next prime is 314197171. The reversal of 314197152 is 251791413.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×314197152² = 197439700649822208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210553 + ... + 212039.

It is an arithmetic number, because the mean of its divisors is an integer number (8999424).

Almost surely, 2^314197152 is an apocalyptic number.

314197152 is a gapful number since it is divisible by the number (32) 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 314197152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431972352).

314197152 is an abundant number, since it is smaller than the sum of its proper divisors (549747552).

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

314197152 is a wasteful number, since it uses less digits than its factorization.

314197152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1594 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 314197152 is about 17725.6072392457. The cubic root of 314197152 is about 679.8306614091.

The spelling of 314197152 in words is "three hundred fourteen million, one hundred ninety-seven thousand, one hundred fifty-two".