10073657 has 16 divisors (see below), whose sum is σ = 11524032. Its totient is φ = 8723520.

The previous prime is 10073647. The next prime is 10073669. The reversal of 10073657 is 75637001.

10073657 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10073657 - 2¹⁴ = 10057273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10073647) 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 15 ways as a sum of consecutive naturals, for example, 21338 + ... + 21804.

It is an arithmetic number, because the mean of its divisors is an integer number (720252).

Almost surely, 2^10073657 is an apocalyptic number.

It is an amenable number.

10073657 is a deficient number, since it is larger than the sum of its proper divisors (1450375).

10073657 is a wasteful number, since it uses less digits than its factorization.

10073657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568.

The product of its (nonzero) digits is 4410, while the sum is 29.

The square root of 10073657 is about 3173.9024874750. The cubic root of 10073657 is about 215.9711395482.

It can be divided in two parts, 1007 and 3657, that added together give a palindrome (4664).

The spelling of 10073657 in words is "ten million, seventy-three thousand, six hundred fifty-seven".