29628101 has 2 divisors, whose sum is σ = 29628102. Its totient is φ = 29628100.

The previous prime is 29628073. The next prime is 29628103. The reversal of 29628101 is 10182692.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28879876 + 748225 = 5374^2 + 865^2 .

It is a cyclic number.

It is not a de Polignac number, because 29628101 - 2¹⁰ = 29627077 is a prime.

Together with 29628103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (29628103) 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 as a sum of consecutive naturals, namely, 14814050 + 14814051.

It is an arithmetic number, because the mean of its divisors is an integer number (14814051).

Almost surely, 2^29628101 is an apocalyptic number.

It is an amenable number.

29628101 is a deficient number, since it is larger than the sum of its proper divisors (1).

29628101 is an equidigital number, since it uses as much as digits as its factorization.

29628101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 29628101 is about 5443.1701241097. The cubic root of 29628101 is about 309.4339340300.

The spelling of 29628101 in words is "twenty-nine million, six hundred twenty-eight thousand, one hundred one".