4271965 has 8 divisors (see below), whose sum is σ = 5172408. Its totient is φ = 3386880.

The previous prime is 4271963. The next prime is 4272001. The reversal of 4271965 is 5691724.

4271965 = 1461² + 1462².

4271965 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 4 ways, for example, as 85849 + 4186116 = 293^2 + 2046^2 .

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

It is not a de Polignac number, because 4271965 - 2¹ = 4271963 is a prime.

It is a super-2 number, since 2×4271965² = 36499369922450, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4271965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4271963) 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, 3216 + ... + 4345.

It is an arithmetic number, because the mean of its divisors is an integer number (646551).

Almost surely, 2^4271965 is an apocalyptic number.

4271965 is the 1462-nd centered square number.

It is an amenable number.

4271965 is a deficient number, since it is larger than the sum of its proper divisors (900443).

4271965 is a wasteful number, since it uses less digits than its factorization.

4271965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7679.

The product of its digits is 15120, while the sum is 34.

The square root of 4271965 is about 2066.8732423639. The cubic root of 4271965 is about 162.2591619727.

The spelling of 4271965 in words is "four million, two hundred seventy-one thousand, nine hundred sixty-five".