42965307 has 72 divisors (see below), whose sum is σ = 83549232. Its totient is φ = 20966400.

The previous prime is 42965303. The next prime is 42965347. The reversal of 42965307 is 70356924.

It is not a de Polignac number, because 42965307 - 2² = 42965303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42965303) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82207 + ... + 82727.

It is an arithmetic number, because the mean of its divisors is an integer number (1160406).

Almost surely, 2^42965307 is an apocalyptic number.

42965307 is a deficient number, since it is larger than the sum of its proper divisors (40583925).

42965307 is a wasteful number, since it uses less digits than its factorization.

42965307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 42965307 is about 6554.7926740668. The cubic root of 42965307 is about 350.2455610067.

The spelling of 42965307 in words is "forty-two million, nine hundred sixty-five thousand, three hundred seven".