403965 has 24 divisors (see below), whose sum is σ = 718848. Its totient is φ = 209760.

The previous prime is 403957. The next prime is 403969. The reversal of 403965 is 569304.

It is a happy number.

It is not a de Polignac number, because 403965 - 2³ = 403957 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2020 + ... + 2210.

It is an arithmetic number, because the mean of its divisors is an integer number (29952).

2⁴⁰³⁹⁶⁵ is an apocalyptic number.

403965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

403965 is a deficient number, since it is larger than the sum of its proper divisors (314883).

403965 is a wasteful number, since it uses less digits than its factorization.

403965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 246 counting only the distinct ones).

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

The square root of 403965 is about 635.5824100776. The cubic root of 403965 is about 73.9232830456.

It can be divided in two parts, 40396 and 5, that added together give a square (40401 = 201²).

The spelling of 403965 in words is "four hundred three thousand, nine hundred sixty-five".