415963 has 2 divisors, whose sum is σ = 415964. Its totient is φ = 415962.

The previous prime is 415957. The next prime is 415969. The reversal of 415963 is 369514.

It is a balanced prime because it is at equal distance from previous prime (415957) and next prime (415969).

It is a cyclic number.

It is not a de Polignac number, because 415963 - 2⁵ = 415931 is a prime.

It is not a weakly prime, because it can be changed into another prime (415969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207981 + 207982.

It is an arithmetic number, because the mean of its divisors is an integer number (207982).

2⁴¹⁵⁹⁶³ is an apocalyptic number.

415963 is a deficient number, since it is larger than the sum of its proper divisors (1).

415963 is an equidigital number, since it uses as much as digits as its factorization.

415963 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3240, while the sum is 28.

The square root of 415963 is about 644.9519361937. The cubic root of 415963 is about 74.6480098830.

It can be divided in two parts, 415 and 963, that added together give a triangular number (1378 = T₅₂).

The spelling of 415963 in words is "four hundred fifteen thousand, nine hundred sixty-three".