7834905225 has 135 divisors (see below), whose sum is σ = 16942708101. Its totient is φ = 3568924800.

The previous prime is 7834905109. The next prime is 7834905241. The reversal of 7834905225 is 5225094387.

The square root of 7834905225 is 88515.

It is a perfect power (a square), and thus also a powerful number.

7834905225 is a `hidden beast` number, since 7 + 8 + 34 + 90 + 522 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11148921 + 7823756304 = 3339^2 + 88452^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 7834905225 - 2⁷ = 7834905097 is a prime.

It is a super-2 number, since 2×7834905225² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 27882085 + ... + 27882365.

Almost surely, 2^7834905225 is an apocalyptic number.

7834905225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7834905225 is the 88515-th square number.

7834905225 is the 44258-th centered octagonal number.

It is an amenable number.

7834905225 is an abundant number, since it is smaller than the sum of its proper divisors (9107802876).

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

7834905225 is an equidigital number, since it uses as much as digits as its factorization.

7834905225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The cubic root of 7834905225 is about 1986.1463620102.

The spelling of 7834905225 in words is "seven billion, eight hundred thirty-four million, nine hundred five thousand, two hundred twenty-five".