45963 has 6 divisors (see below), whose sum is σ = 66404. Its totient is φ = 30636.

The previous prime is 45959. The next prime is 45971. The reversal of 45963 is 36954.

It is a happy number.

It is not a de Polignac number, because 45963 - 2² = 45959 is a prime.

It is a super-2 number, since 2×45963² = 4225194738, which contains 22 as substring.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (45943) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2545 + ... + 2562.

2⁴⁵⁹⁶³ is an apocalyptic number.

45963 is a deficient number, since it is larger than the sum of its proper divisors (20441).

45963 is a wasteful number, since it uses less digits than its factorization.

45963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5113 (or 5110 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 45963 is about 214.3898318484. The cubic root of 45963 is about 35.8208694107.

Subtracting from 45963 its reverse (36954), we obtain a palindrome (9009).

The spelling of 45963 in words is "forty-five thousand, nine hundred sixty-three".