8038314 has 48 divisors (see below), whose sum is σ = 18687240. Its totient is φ = 2488320.

The previous prime is 8038313. The next prime is 8038319. The reversal of 8038314 is 4138308.

It can be written as a sum of positive squares in 4 ways, for example, as 8037225 + 1089 = 2835^2 + 33^2 .

It is a super-2 number, since 2×8038314² = 129228983925192, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8038313) 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, 33234 + ... + 33474.

Almost surely, 2^8038314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8038314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9343620).

8038314 is an abundant number, since it is smaller than the sum of its proper divisors (10648926).

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

8038314 is a wasteful number, since it uses less digits than its factorization.

8038314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8038314 is about 2835.1920569866. The cubic root of 8038314 is about 200.3187749760.

The spelling of 8038314 in words is "eight million, thirty-eight thousand, three hundred fourteen".