89906129 has 2 divisors, whose sum is σ = 89906130. Its totient is φ = 89906128.

The previous prime is 89906123. The next prime is 89906137. The reversal of 89906129 is 92160998.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88078225 + 1827904 = 9385^2 + 1352^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-89906129 is a prime.

It is a super-2 number, since 2×89906129² = 16166224063529282, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 89906129.

It is not a weakly prime, because it can be changed into another prime (89906123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 44953064 + 44953065.

It is an arithmetic number, because the mean of its divisors is an integer number (44953065).

Almost surely, 2^89906129 is an apocalyptic number.

It is an amenable number.

89906129 is a deficient number, since it is larger than the sum of its proper divisors (1).

89906129 is an equidigital number, since it uses as much as digits as its factorization.

89906129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 44.

The square root of 89906129 is about 9481.8842536703. The cubic root of 89906129 is about 447.9846152907.

The spelling of 89906129 in words is "eighty-nine million, nine hundred six thousand, one hundred twenty-nine".