2633629 has 2 divisors, whose sum is σ = 2633630. Its totient is φ = 2633628.

The previous prime is 2633597. The next prime is 2633639. The reversal of 2633629 is 9263362.

2633629 is nontrivially palindromic in base 9.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1428025 + 1205604 = 1195^2 + 1098^2 .

It is a cyclic number.

It is not a de Polignac number, because 2633629 - 2⁵ = 2633597 is a prime.

It is a d-powerful number, because it can be written as 2¹⁷ + 6⁶ + 3⁹ + 3¹⁰ + 6⁷ + 2²¹ + 9² .

It is a self number, because there is not a number n which added to its sum of digits gives 2633629.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2633639) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1316814 + 1316815.

It is an arithmetic number, because the mean of its divisors is an integer number (1316815).

2^2633629 is an apocalyptic number.

It is an amenable number.

2633629 is a deficient number, since it is larger than the sum of its proper divisors (1).

2633629 is an equidigital number, since it uses as much as digits as its factorization.

2633629 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11664, while the sum is 31.

The square root of 2633629 is about 1622.8459569534. The cubic root of 2633629 is about 138.0971975054.

The spelling of 2633629 in words is "two million, six hundred thirty-three thousand, six hundred twenty-nine".