2137305 has 16 divisors (see below), whose sum is σ = 3513024. Its totient is φ = 1108800.

The previous prime is 2137301. The next prime is 2137307. The reversal of 2137305 is 5037312.

It is a happy number.

It is not a de Polignac number, because 2137305 - 2² = 2137301 is a prime.

It is a d-powerful number, because it can be written as 2⁷ + 1 + 3⁸ + 7³ + 3¹¹ + 0 + 5⁹ .

2137305 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2137301) 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, 1371 + ... + 2480.

It is an arithmetic number, because the mean of its divisors is an integer number (219564).

2^2137305 is an apocalyptic number.

It is an amenable number.

2137305 is a deficient number, since it is larger than the sum of its proper divisors (1375719).

2137305 is a wasteful number, since it uses less digits than its factorization.

2137305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3896.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 2137305 is about 1461.9524616074. The cubic root of 2137305 is about 128.8117559644.

It can be divided in two parts, 2137 and 305, that added together give a palindrome (2442).

The spelling of 2137305 in words is "two million, one hundred thirty-seven thousand, three hundred five".