4626 has 12 divisors (see below), whose sum is σ = 10062.
Its totient is φ = 1536.
The previous prime is 4621. The next prime is 4637. The reversal of 4626 is 6264.
It can be divided in two parts, 462 and 6, that multiplied together give a palindrome (2772).
4626 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.
It can be written as a sum of positive squares in only one way, i.e., 2601 + 2025 = 51^2 + 45^2
It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 257 = 4626 / (4 + 6 + 2 + 6).
4626 is an undulating number in base 16.
It is a nialpdrome in base 9.
It is a junction number, because it is equal to n+sod(n) for n = 4599 and 4608.
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4626.
It is not an unprimeable number, because it can be changed into a prime (4621) 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, 111 + ... + 146.
24626 is an apocalyptic number.
4626 is an abundant number, since it is smaller than the sum of its proper divisors (5436).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4626 is a wasteful number, since it uses less digits than its factorization.
4626 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 265 (or 262 counting only the distinct ones).
The product of its digits is 288, while the sum is 18.
The square root of 4626 is about 68.0147042925.
The cubic root of 4626 is about 16.6623099724.
The spelling of 4626 in words is "four thousand, six hundred twenty-six".