4632705 has 72 divisors (see below), whose sum is σ = 10243584. Its totient is φ = 1915200.

The previous prime is 4632703. The next prime is 4632709. The reversal of 4632705 is 5072364.

It is a happy number.

It is not a de Polignac number, because 4632705 - 2¹ = 4632703 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 (4632701) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24160 + ... + 24350.

It is an arithmetic number, because the mean of its divisors is an integer number (142272).

Almost surely, 2^4632705 is an apocalyptic number.

4632705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4632705 is an abundant number, since it is smaller than the sum of its proper divisors (5610879).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4632705 is a wasteful number, since it uses less digits than its factorization.

4632705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 4632705 is about 2152.3719474106. The cubic root of 4632705 is about 166.7035629425.

The spelling of 4632705 in words is "four million, six hundred thirty-two thousand, seven hundred five".