10277085 has 32 divisors (see below), whose sum is σ = 20240640. Its totient is φ = 4336128.

The previous prime is 10277051. The next prime is 10277087. The reversal of 10277085 is 58077201.

It is a happy number.

It is not a de Polignac number, because 10277085 - 2¹⁰ = 10276061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10277087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2400 + ... + 5129.

It is an arithmetic number, because the mean of its divisors is an integer number (632520).

Almost surely, 2^10277085 is an apocalyptic number.

10277085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10277085 is a deficient number, since it is larger than the sum of its proper divisors (9963555).

10277085 is a wasteful number, since it uses less digits than its factorization.

10277085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7557.

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 10277085 is about 3205.7892943860. The cubic root of 10277085 is about 217.4152397964.

The spelling of 10277085 in words is "ten million, two hundred seventy-seven thousand, eighty-five".