253832105 has 16 divisors (see below), whose sum is σ = 312373584. Its totient is φ = 197932800.

The previous prime is 253832087. The next prime is 253832119. The reversal of 253832105 is 501238352.

253832105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3481 + 253828624 = 59^2 + 15932^2 .

It is not a de Polignac number, because 253832105 - 2¹² = 253828009 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38555 + ... + 44655.

It is an arithmetic number, because the mean of its divisors is an integer number (19523349).

Almost surely, 2^253832105 is an apocalyptic number.

It is an amenable number.

253832105 is a deficient number, since it is larger than the sum of its proper divisors (58541479).

253832105 is a wasteful number, since it uses less digits than its factorization.

253832105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6316.

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 253832105 is about 15932.1092451690. The cubic root of 253832105 is about 633.1629838862.

It can be divided in two parts, 2538 and 32105, that added together give a palindrome (34643).

The spelling of 253832105 in words is "two hundred fifty-three million, eight hundred thirty-two thousand, one hundred five".