4208953 has 10 divisors (see below), whose sum is σ = 4912954. Its totient is φ = 3605616.

The previous prime is 4208947. The next prime is 4208959. The reversal of 4208953 is 3598024.

It is an interprime number because it is at equal distance from previous prime (4208947) and next prime (4208959).

It can be written as a sum of positive squares in only one way, i.e., 2458624 + 1750329 = 1568^2 + 1323^2 .

It is not a de Polignac number, because 4208953 - 2⁹ = 4208441 is a prime.

It is a Duffinian number.

4208953 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4208959) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1525 + ... + 3277.

Almost surely, 2^4208953 is an apocalyptic number.

It is an amenable number.

4208953 is a deficient number, since it is larger than the sum of its proper divisors (704001).

4208953 is an frugal number, since it uses more digits than its factorization.

4208953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 4208953 is about 2051.5732987149. The cubic root of 4208953 is about 161.4574263073.

The spelling of 4208953 in words is "four million, two hundred eight thousand, nine hundred fifty-three".