2100657 has 16 divisors (see below), whose sum is σ = 3069248. Its totient is φ = 1270080.

The previous prime is 2100649. The next prime is 2100661. The reversal of 2100657 is 7560012.

It is not a de Polignac number, because 2100657 - 2³ = 2100649 is a prime.

It is a d-powerful number, because it can be written as 2²¹ + 1 + 0 + 0 + 6² + 5⁵ + 7³ .

It is not an unprimeable number, because it can be changed into a prime (2100607) 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, 1938 + ... + 2820.

It is an arithmetic number, because the mean of its divisors is an integer number (191828).

2^2100657 is an apocalyptic number.

It is an amenable number.

2100657 is a deficient number, since it is larger than the sum of its proper divisors (968591).

2100657 is a wasteful number, since it uses less digits than its factorization.

2100657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 2100657 is about 1449.3643434278. The cubic root of 2100657 is about 128.0712697176.

Adding to 2100657 its reverse (7560012), we get a palindrome (9660669).

The spelling of 2100657 in words is "two million, one hundred thousand, six hundred fifty-seven".