2959965 has 12 divisors (see below), whose sum is σ = 5130684. Its totient is φ = 1578624.

The previous prime is 2959961. The next prime is 2959967. The reversal of 2959965 is 5699592.

It can be written as a sum of positive squares in 2 ways, for example, as 1505529 + 1454436 = 1227^2 + 1206^2 .

It is not a de Polignac number, because 2959965 - 2² = 2959961 is a prime.

It is a super-2 number, since 2×2959965² = 17522785602450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 65777 = 2959965 / (2 + 9 + 5 + 9 + 9 + 6 + 5).

It is a Curzon number.

2959965 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2959965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2959961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32844 + ... + 32933.

It is an arithmetic number, because the mean of its divisors is an integer number (427557).

2^2959965 is an apocalyptic number.

It is an amenable number.

2959965 is a deficient number, since it is larger than the sum of its proper divisors (2170719).

2959965 is a wasteful number, since it uses less digits than its factorization.

2959965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65788 (or 65785 counting only the distinct ones).

The product of its digits is 218700, while the sum is 45.

The square root of 2959965 is about 1720.4548817101. The cubic root of 2959965 is about 143.5805211227.

The spelling of 2959965 in words is "two million, nine hundred fifty-nine thousand, nine hundred sixty-five".