5905965 has 32 divisors (see below), whose sum is σ = 10515456. Its totient is φ = 2810880.

The previous prime is 5905943. The next prime is 5905967. The reversal of 5905965 is 5695095.

It is not a de Polignac number, because 5905965 - 2¹⁷ = 5774893 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5905967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5557 + ... + 6533.

It is an arithmetic number, because the mean of its divisors is an integer number (328608).

Almost surely, 2^5905965 is an apocalyptic number.

It is an amenable number.

5905965 is a deficient number, since it is larger than the sum of its proper divisors (4609491).

5905965 is a wasteful number, since it uses less digits than its factorization.

5905965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029.

The product of its (nonzero) digits is 60750, while the sum is 39.

The square root of 5905965 is about 2430.2191259226. The cubic root of 5905965 is about 180.7577622932.

It can be divided in two parts, 590 and 5965, that added together give a triangular number (6555 = T₁₁₄).

The spelling of 5905965 in words is "five million, nine hundred five thousand, nine hundred sixty-five".