10077625 has 8 divisors (see below), whose sum is σ = 12577032. Its totient is φ = 8062000.

The previous prime is 10077569. The next prime is 10077629. The reversal of 10077625 is 52677001.

It can be written as a sum of positive squares in 4 ways, for example, as 2782224 + 7295401 = 1668^2 + 2701^2 .

It is not a de Polignac number, because 10077625 - 2²¹ = 7980473 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10077593 and 10077602.

It is not an unprimeable number, because it can be changed into a prime (10077629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40186 + ... + 40435.

It is an arithmetic number, because the mean of its divisors is an integer number (1572129).

Almost surely, 2^10077625 is an apocalyptic number.

It is an amenable number.

10077625 is a deficient number, since it is larger than the sum of its proper divisors (2499407).

10077625 is an frugal number, since it uses more digits than its factorization.

10077625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80636 (or 80626 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 10077625 is about 3174.5275239002. The cubic root of 10077625 is about 215.9994927400. Note that the first 3 decimals are identical.

The spelling of 10077625 in words is "ten million, seventy-seven thousand, six hundred twenty-five".