10523985 has 32 divisors (see below), whose sum is σ = 17418240. Its totient is φ = 5423808.

The previous prime is 10523977. The next prime is 10523993. The reversal of 10523985 is 58932501.

It is an interprime number because it is at equal distance from previous prime (10523977) and next prime (10523993).

It is not a de Polignac number, because 10523985 - 2³ = 10523977 is a prime.

It is a super-2 number, since 2×10523985² = 221508520560450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98302 + ... + 98408.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 2^10523985 is an apocalyptic number.

10523985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10523985 is a deficient number, since it is larger than the sum of its proper divisors (6894255).

10523985 is a wasteful number, since it uses less digits than its factorization.

10523985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277.

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 10523985 is about 3244.0692039474. The cubic root of 10523985 is about 219.1425647489.

It can be divided in two parts, 105 and 23985, that added together give a triangular number (24090 = T₂₁₉).

The spelling of 10523985 in words is "ten million, five hundred twenty-three thousand, nine hundred eighty-five".