314292006 has 24 divisors (see below), whose sum is σ = 778247184. Its totient is φ = 89797680.

The previous prime is 314292001. The next prime is 314292029. The reversal of 314292006 is 600292413.

314292006 is a `hidden beast` number, since 31 + 429 + 200 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314292001) 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 11 ways as a sum of consecutive naturals, for example, 1247065 + ... + 1247316.

It is an arithmetic number, because the mean of its divisors is an integer number (32426966).

Almost surely, 2^314292006 is an apocalyptic number.

314292006 is an abundant number, since it is smaller than the sum of its proper divisors (463955178).

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

314292006 is a wasteful number, since it uses less digits than its factorization.

314292006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494396 (or 2494393 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 314292006 is about 17728.2826579452. The cubic root of 314292006 is about 679.8990666223.

The spelling of 314292006 in words is "three hundred fourteen million, two hundred ninety-two thousand, six".