27505953 has 16 divisors (see below), whose sum is σ = 42522240. Its totient is φ = 17539632.

The previous prime is 27505943. The next prime is 27505969. The reversal of 27505953 is 35950572.

It is not a de Polignac number, because 27505953 - 2⁸ = 27505697 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (27505903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21526 + ... + 22767.

It is an arithmetic number, because the mean of its divisors is an integer number (2657640).

Almost surely, 2^27505953 is an apocalyptic number.

27505953 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

27505953 is a deficient number, since it is larger than the sum of its proper divisors (15016287).

27505953 is a wasteful number, since it uses less digits than its factorization.

27505953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44325 (or 44319 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The square root of 27505953 is about 5244.6118064162. The cubic root of 27505953 is about 301.8623153499.

The spelling of 27505953 in words is "twenty-seven million, five hundred five thousand, nine hundred fifty-three".