85505601 has 16 divisors (see below), whose sum is σ = 119707200. Its totient is φ = 54212928.

The previous prime is 85505569. The next prime is 85505633. The reversal of 85505601 is 10650558.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85505569) and next prime (85505633).

It is not a de Polignac number, because 85505601 - 2⁵ = 85505569 is a prime.

It is a super-2 number, since 2×85505601² = 14622415604742402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85505201) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1506 + ... + 13163.

It is an arithmetic number, because the mean of its divisors is an integer number (7481700).

Almost surely, 2^85505601 is an apocalyptic number.

It is an amenable number.

85505601 is a deficient number, since it is larger than the sum of its proper divisors (34201599).

85505601 is a wasteful number, since it uses less digits than its factorization.

85505601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14768.

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 85505601 is about 9246.9238668868. The cubic root of 85505601 is about 440.5530253546.

The spelling of 85505601 in words is "eighty-five million, five hundred five thousand, six hundred one".