405963 has 12 divisors (see below), whose sum is σ = 600600. Its totient is φ = 264096.

The previous prime is 405959. The next prime is 405967. The reversal of 405963 is 369504.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (405959) and next prime (405967).

It is not a de Polignac number, because 405963 - 2² = 405959 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (405967) 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, 138 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (50050).

2⁴⁰⁵⁹⁶³ is an apocalyptic number.

405963 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

405963 is a deficient number, since it is larger than the sum of its proper divisors (194637).

405963 is a wasteful number, since it uses less digits than its factorization.

405963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1095 counting only the distinct ones).

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

The square root of 405963 is about 637.1522580985. The cubic root of 405963 is about 74.0449568554.

The spelling of 405963 in words is "four hundred five thousand, nine hundred sixty-three".