827253035 has 24 divisors (see below), whose sum is σ = 1156044816. Its totient is φ = 566637120.

The previous prime is 827252947. The next prime is 827253071. The reversal of 827253035 is 530352728.

827253035 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 827253035 - 2¹⁴ = 827236651 is a prime.

It is a super-2 number, since 2×827253035² = 1368695167833422450, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 827252986 and 827253004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396104 + ... + 398186.

It is an arithmetic number, because the mean of its divisors is an integer number (48168534).

Almost surely, 2^827253035 is an apocalyptic number.

827253035 is a deficient number, since it is larger than the sum of its proper divisors (328791781).

827253035 is a wasteful number, since it uses less digits than its factorization.

827253035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723 (or 3716 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 827253035 is about 28762.0067971621. The cubic root of 827253035 is about 938.7417278673.

The spelling of 827253035 in words is "eight hundred twenty-seven million, two hundred fifty-three thousand, thirty-five".