314073045 has 240 divisors, whose sum is σ = 729978480. Its totient is φ = 127733760.

The previous prime is 314073043. The next prime is 314073047. The reversal of 314073045 is 540370413.

It is an interprime number because it is at equal distance from previous prime (314073043) and next prime (314073047).

It can be written as a sum of positive squares in 8 ways, for example, as 3538161 + 310534884 = 1881^2 + 17622^2 .

It is not a de Polignac number, because 314073045 - 2¹ = 314073043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314073041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10830091 + ... + 10830119.

It is an arithmetic number, because the mean of its divisors is an integer number (3041577).

Almost surely, 2^314073045 is an apocalyptic number.

It is an amenable number.

314073045 is an abundant number, since it is smaller than the sum of its proper divisors (415905435).

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

314073045 is a wasteful number, since it uses less digits than its factorization.

314073045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 314073045 is about 17722.1061107307. The cubic root of 314073045 is about 679.7411392151.

The spelling of 314073045 in words is "three hundred fourteen million, seventy-three thousand, forty-five".