4772105 has 8 divisors (see below), whose sum is σ = 6167112. Its totient is φ = 3523968.

The previous prime is 4772077. The next prime is 4772107. The reversal of 4772105 is 5012774.

It can be written as a sum of positive squares in 4 ways, for example, as 395641 + 4376464 = 629^2 + 2092^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4772105 - 2¹⁸ = 4509961 is a prime.

It is a super-2 number, since 2×4772105² = 45545972262050, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4772107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36644 + ... + 36773.

It is an arithmetic number, because the mean of its divisors is an integer number (770889).

Almost surely, 2^4772105 is an apocalyptic number.

It is an amenable number.

4772105 is a deficient number, since it is larger than the sum of its proper divisors (1395007).

4772105 is a wasteful number, since it uses less digits than its factorization.

4772105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73435.

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 4772105 is about 2184.5148202747. The cubic root of 4772105 is about 168.3591264161.

Adding to 4772105 its reverse (5012774), we get a palindrome (9784879).

The spelling of 4772105 in words is "four million, seven hundred seventy-two thousand, one hundred five".