201429985 has 8 divisors (see below), whose sum is σ = 241960680. Its totient is φ = 160980864.

The previous prime is 201429973. The next prime is 201429997. The reversal of 201429985 is 589924102.

It is an interprime number because it is at equal distance from previous prime (201429973) and next prime (201429997).

It can be written as a sum of positive squares in 4 ways, for example, as 12559936 + 188870049 = 3544^2 + 13743^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 201429985 - 2⁷ = 201429857 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14820 + ... + 24949.

It is an arithmetic number, because the mean of its divisors is an integer number (30245085).

Almost surely, 2^201429985 is an apocalyptic number.

It is an amenable number.

201429985 is a deficient number, since it is larger than the sum of its proper divisors (40530695).

201429985 is a wasteful number, since it uses less digits than its factorization.

201429985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40787.

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 201429985 is about 14192.6031791212. The cubic root of 201429985 is about 586.1940061663.

The spelling of 201429985 in words is "two hundred one million, four hundred twenty-nine thousand, nine hundred eighty-five".