27085401 has 32 divisors (see below), whose sum is σ = 46233600. Its totient is φ = 15351120.

The previous prime is 27085381. The next prime is 27085411. The reversal of 27085401 is 10458072.

It is not a de Polignac number, because 27085401 - 2⁷ = 27085273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27085411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25756 + ... + 26786.

It is an arithmetic number, because the mean of its divisors is an integer number (1444800).

Almost surely, 2^27085401 is an apocalyptic number.

27085401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

27085401 is a deficient number, since it is larger than the sum of its proper divisors (19148199).

27085401 is a wasteful number, since it uses less digits than its factorization.

27085401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 27085401 is about 5204.3636498615. The cubic root of 27085401 is about 300.3159670991.

The spelling of 27085401 in words is "twenty-seven million, eighty-five thousand, four hundred one".