10257633 has 12 divisors (see below), whose sum is σ = 15038608. Its totient is φ = 6735960.

The previous prime is 10257631. The next prime is 10257649. The reversal of 10257633 is 33675201.

It is a happy number.

10257633 is a `hidden beast` number, since 1 + 0 + 25 + 7 + 633 = 666.

It is not a de Polignac number, because 10257633 - 2¹ = 10257631 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10257597 and 10257606.

It is not an unprimeable number, because it can be changed into a prime (10257631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7903 + ... + 9108.

Almost surely, 2^10257633 is an apocalyptic number.

It is an amenable number.

10257633 is a deficient number, since it is larger than the sum of its proper divisors (4780975).

10257633 is a wasteful number, since it uses less digits than its factorization.

10257633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17084 (or 17081 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 10257633 is about 3202.7539711942. The cubic root of 10257633 is about 217.2779819291.

The spelling of 10257633 in words is "ten million, two hundred fifty-seven thousand, six hundred thirty-three".