42965 has 8 divisors (see below), whose sum is σ = 55608. Its totient is φ = 31680.

The previous prime is 42961. The next prime is 42967. The reversal of 42965 is 56924.

42965 = T₄₄ + T₄₅ + ... + T₆₉.

It can be written as a sum of positive squares in 4 ways, for example, as 3364 + 39601 = 58^2 + 199^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42965 - 2² = 42961 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42965.

It is not an unprimeable number, because it can be changed into a prime (42961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266 + ... + 395.

It is an arithmetic number, because the mean of its divisors is an integer number (6951).

2⁴²⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

42965 is a deficient number, since it is larger than the sum of its proper divisors (12643).

42965 is a wasteful number, since it uses less digits than its factorization.

42965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679.

The product of its digits is 2160, while the sum is 26.

The square root of 42965 is about 207.2800038595. The cubic root of 42965 is about 35.0244726802.

It can be divided in two parts, 429 and 65, that added together give a palindrome (494).

The spelling of 42965 in words is "forty-two thousand, nine hundred sixty-five".