20085975 has 120 divisors (see below), whose sum is σ = 46212320. Its totient is φ = 8398080.

The previous prime is 20085973. The next prime is 20085979. The reversal of 20085975 is 57958002.

20085975 = 248² + 249² + ... + 422².

It is not a de Polignac number, because 20085975 - 2¹ = 20085973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20085973) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 184221 + ... + 184329.

Almost surely, 2^20085975 is an apocalyptic number.

20085975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20085975 is an abundant number, since it is smaller than the sum of its proper divisors (26126345).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20085975 is a wasteful number, since it uses less digits than its factorization.

20085975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 20085975 is about 4481.7379441462. The cubic root of 20085975 is about 271.8301590732.

The spelling of 20085975 in words is "twenty million, eighty-five thousand, nine hundred seventy-five".