307965 has 24 divisors (see below), whose sum is σ = 574560. Its totient is φ = 140448.

The previous prime is 307939. The next prime is 307969. The reversal of 307965 is 569703.

It is not a de Polignac number, because 307965 - 2¹⁰ = 306941 is a prime.

307965 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (307969) 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, 526 + ... + 944.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2³⁰⁷⁹⁶⁵ is an apocalyptic number.

307965 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

307965 is a deficient number, since it is larger than the sum of its proper divisors (266595).

307965 is a wasteful number, since it uses less digits than its factorization.

307965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 307965 is about 554.9459433134. The cubic root of 307965 is about 67.5305759968.

The spelling of 307965 in words is "three hundred seven thousand, nine hundred sixty-five".