10624129 has 2 divisors, whose sum is σ = 10624130. Its totient is φ = 10624128.

The previous prime is 10624127. The next prime is 10624151. The reversal of 10624129 is 92142601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7033104 + 3591025 = 2652^2 + 1895^2 .

It is a cyclic number.

It is not a de Polignac number, because 10624129 - 2¹ = 10624127 is a prime.

It is a super-2 number, since 2×10624129² = 225744234017282, which contains 22 as substring.

Together with 10624127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10624127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5312064 + 5312065.

It is an arithmetic number, because the mean of its divisors is an integer number (5312065).

Almost surely, 2^10624129 is an apocalyptic number.

It is an amenable number.

10624129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10624129 is an equidigital number, since it uses as much as digits as its factorization.

10624129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 10624129 is about 3259.4675945620. The cubic root of 10624129 is about 219.8354761674.

The spelling of 10624129 in words is "ten million, six hundred twenty-four thousand, one hundred twenty-nine".