314106765 has 64 divisors (see below), whose sum is σ = 612556800. Its totient is φ = 134244864.

The previous prime is 314106761. The next prime is 314106799. The reversal of 314106765 is 567601413.

It is not a de Polignac number, because 314106765 - 2² = 314106761 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314106761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156609 + ... + 158601.

It is an arithmetic number, because the mean of its divisors is an integer number (9571200).

Almost surely, 2^314106765 is an apocalyptic number.

314106765 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

314106765 is a deficient number, since it is larger than the sum of its proper divisors (298450035).

314106765 is a wasteful number, since it uses less digits than its factorization.

314106765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 314106765 is about 17723.0574393923. The cubic root of 314106765 is about 679.7654648206.

The spelling of 314106765 in words is "three hundred fourteen million, one hundred six thousand, seven hundred sixty-five".