2100629 has 2 divisors, whose sum is σ = 2100630. Its totient is φ = 2100628.

The previous prime is 2100607. The next prime is 2100649. The reversal of 2100629 is 9260012.

It is an a-pointer prime, because the next prime (2100649) can be obtained adding 2100629 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1876900 + 223729 = 1370^2 + 473^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100629 - 2¹² = 2096533 is a prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2100629.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050314 + 1050315.

It is an arithmetic number, because the mean of its divisors is an integer number (1050315).

2^2100629 is an apocalyptic number.

It is an amenable number.

2100629 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100629 is an equidigital number, since it uses as much as digits as its factorization.

2100629 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 2100629 is about 1449.3546839887. The cubic root of 2100629 is about 128.0707006874.

The spelling of 2100629 in words is "two million, one hundred thousand, six hundred twenty-nine".