314002100 has 72 divisors (see below), whose sum is σ = 708288000. Its totient is φ = 120700800.

The previous prime is 314002097. The next prime is 314002103. The reversal of 314002100 is 1200413.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (314002097) and next prime (314002103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314002103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 616646 + ... + 617154.

Almost surely, 2^314002100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354144000).

314002100 is an abundant number, since it is smaller than the sum of its proper divisors (394285900).

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

314002100 is a wasteful number, since it uses less digits than its factorization.

314002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 314002100 is about 17720.1044014983. The cubic root of 314002100 is about 679.6899538115.

Adding to 314002100 its reverse (1200413), we get a palindrome (315202513).

The spelling of 314002100 in words is "three hundred fourteen million, two thousand, one hundred".