15200085 has 16 divisors (see below), whose sum is σ = 24418944. Its totient is φ = 8073792.

The previous prime is 15200083. The next prime is 15200149. The reversal of 15200085 is 58000251.

It is not a de Polignac number, because 15200085 - 2¹ = 15200083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15200083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2019 + ... + 5871.

It is an arithmetic number, because the mean of its divisors is an integer number (1526184).

Almost surely, 2^15200085 is an apocalyptic number.

15200085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

15200085 is a deficient number, since it is larger than the sum of its proper divisors (9218859).

15200085 is a wasteful number, since it uses less digits than its factorization.

15200085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124.

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 15200085 is about 3898.7286389283. The cubic root of 15200085 is about 247.7129276699.

The spelling of 15200085 in words is "fifteen million, two hundred thousand, eighty-five".