2135727 has 48 divisors (see below), whose sum is σ = 3773952. Its totient is φ = 1192320.

The previous prime is 2135723. The next prime is 2135729. The reversal of 2135727 is 7275312.

2135727 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2135727 - 2² = 2135723 is a prime.

It is a super-2 number, since 2×2135727² = 9122659637058, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2135727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135723) 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 47 ways as a sum of consecutive naturals, for example, 45418 + ... + 45464.

It is an arithmetic number, because the mean of its divisors is an integer number (78624).

2^2135727 is an apocalyptic number.

2135727 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2135727 is a deficient number, since it is larger than the sum of its proper divisors (1638225).

2135727 is a wasteful number, since it uses less digits than its factorization.

2135727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 78 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 2135727 is about 1461.4126727246. The cubic root of 2135727 is about 128.7800470294.

The spelling of 2135727 in words is "two million, one hundred thirty-five thousand, seven hundred twenty-seven".