314892216 has 96 divisors (see below), whose sum is σ = 871918320. Its totient is φ = 102643200.

The previous prime is 314892209. The next prime is 314892223. The reversal of 314892216 is 612298413.

It is an interprime number because it is at equal distance from previous prime (314892209) and next prime (314892223).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 951171 + ... + 951501.

Almost surely, 2^314892216 is an apocalyptic number.

314892216 is a gapful number since it is divisible by the number (36) 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 314892216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435959160).

314892216 is an abundant number, since it is smaller than the sum of its proper divisors (557026104).

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

314892216 is a wasteful number, since it uses less digits than its factorization.

314892216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 590 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 314892216 is about 17745.2026192997. The cubic root of 314892216 is about 680.3315972115.

The spelling of 314892216 in words is "three hundred fourteen million, eight hundred ninety-two thousand, two hundred sixteen".