7835085 has 24 divisors (see below), whose sum is σ = 13679640. Its totient is φ = 4148352.

The previous prime is 7835057. The next prime is 7835089. The reversal of 7835085 is 5805387.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 101124 + 7733961 = 318^2 + 2781^2 .

It is not a de Polignac number, because 7835085 - 2⁵ = 7835053 is a prime.

It is a super-2 number, since 2×7835085² = 122777113914450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7835089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6511 + ... + 7619.

It is an arithmetic number, because the mean of its divisors is an integer number (569985).

Almost surely, 2^7835085 is an apocalyptic number.

It is an amenable number.

7835085 is a deficient number, since it is larger than the sum of its proper divisors (5844555).

7835085 is a wasteful number, since it uses less digits than its factorization.

7835085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 7835085 is about 2799.1221838284. The cubic root of 7835085 is about 198.6161552865.

It can be divided in two parts, 78 and 35085, that multiplied together give a triangular number (2736630 = T₂₃₃₉).

The spelling of 7835085 in words is "seven million, eight hundred thirty-five thousand, eighty-five".