420763 has 12 divisors (see below), whose sum is σ = 507072. Its totient is φ = 347760.

The previous prime is 420757. The next prime is 420769. The reversal of 420763 is 367024.

It is an interprime number because it is at equal distance from previous prime (420757) and next prime (420769).

It is not a de Polignac number, because 420763 - 2⁵ = 420731 is a prime.

It is a Duffinian number.

420763 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (420769) 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, 1381 + ... + 1657.

It is an arithmetic number, because the mean of its divisors is an integer number (42256).

2⁴²⁰⁷⁶³ is an apocalyptic number.

420763 is a deficient number, since it is larger than the sum of its proper divisors (86309).

420763 is a wasteful number, since it uses less digits than its factorization.

420763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 420763 is about 648.6624700104. The cubic root of 420763 is about 74.9340457211.

Adding to 420763 its reverse (367024), we get a palindrome (787787).

The spelling of 420763 in words is "four hundred twenty thousand, seven hundred sixty-three".