965209001 has 8 divisors (see below), whose sum is σ = 999750600. Its totient is φ = 930751360.

The previous prime is 965208971. The next prime is 965209031. The reversal of 965209001 is 100902569.

It is an interprime number because it is at equal distance from previous prime (965208971) and next prime (965209031).

It can be written as a sum of positive squares in 4 ways, for example, as 359064601 + 606144400 = 18949^2 + 24620^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 965209001 - 2¹⁰ = 965207977 is a prime.

It is a super-2 number, since 2×965209001² = 1863256831222836002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (965209031) 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, 2891 + ... + 44031.

It is an arithmetic number, because the mean of its divisors is an integer number (124968825).

Almost surely, 2^965209001 is an apocalyptic number.

It is an amenable number.

965209001 is a deficient number, since it is larger than the sum of its proper divisors (34541599).

965209001 is a wasteful number, since it uses less digits than its factorization.

965209001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41979.

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 965209001 is about 31067.8129420144. The cubic root of 965209001 is about 988.2658485835.

The spelling of 965209001 in words is "nine hundred sixty-five million, two hundred nine thousand, one".