10077629 has 2 divisors, whose sum is σ = 10077630. Its totient is φ = 10077628.

The previous prime is 10077569. The next prime is 10077631. The reversal of 10077629 is 92677001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7896100 + 2181529 = 2810^2 + 1477^2 .

It is a cyclic number.

It is not a de Polignac number, because 10077629 - 2⁸ = 10077373 is a prime.

Together with 10077631, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10077595 and 10077604.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10077649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5038814 + 5038815.

It is an arithmetic number, because the mean of its divisors is an integer number (5038815).

Almost surely, 2^10077629 is an apocalyptic number.

It is an amenable number.

10077629 is a deficient number, since it is larger than the sum of its proper divisors (1).

10077629 is an equidigital number, since it uses as much as digits as its factorization.

10077629 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 10077629 is about 3174.5281539152. The cubic root of 10077629 is about 215.9995213181. Note that the first 3 decimals are identical.

The spelling of 10077629 in words is "ten million, seventy-seven thousand, six hundred twenty-nine".